{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "[Gaussian Processes](https://en.wikipedia.org/wiki/Gaussian_process) have been used in supervised, unsupervised, and even reinforcement learning problems and are described by an elegant mathematical theory (for an overview of the subject see [1, 4]). They are also very attractive conceptually, since they offer an intuitive way to define priors over functions. And finally, since Gaussian Processes are formulated in a Bayesian setting, they come equipped with a powerful notion of uncertainty. \n",
    "\n",
    "Happily, Pyro offers some support for Gaussian Processes in the `pyro.contrib.gp` module. The goal of this tutorial is to give a brief introduction to Gaussian Processes (GPs) in the context of this module. We will mostly be focusing on how to use the GP interface in Pyro and refer the reader to the references for more details about GPs in general.\n",
    "\n",
    "The model we're interested in is defined by\n",
    "$$f \\sim \\mathcal{GP}\\left(0, \\mathbf{K}_f(x, x')\\right)$$\n",
    "\n",
    "and\n",
    "$$y = f(x) + \\epsilon,\\quad \\epsilon \\sim \\mathcal{N}\\left(0, \\beta^{-1}\\mathbf{I}\\right).$$\n",
    "\n",
    "Here $x, x' \\in\\mathbf{X}$ are points in the input space and $y\\in\\mathbf{Y}$ is a point in the output space. $f$ is a draw from the GP prior specified by the kernel $\\mathbf{K}_f$ and represents a function from $\\mathbf{X}$ to $\\mathbf{Y}$. Finally, $\\epsilon$ represents Gaussian observation noise.\n",
    "\n",
    "We will use the [radial basis function kernel](https://en.wikipedia.org/wiki/Radial_basis_function_kernel) (RBF kernel) as the kernel of our GP:\n",
    "$$ k(x,x') = \\sigma^2 \\exp\\left(-\\frac{\\|x-x'\\|^2}{2l^2}\\right).$$\n",
    "\n",
    "Here $\\sigma^2$ and $l$ are parameters that specify the kernel; specifically, $\\sigma^2$ is a variance or amplitude squared and $l$ is a lengthscale. We'll get some intuition for these parameters below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we import necessary modules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "\n",
    "import pyro\n",
    "import pyro.contrib.gp as gp\n",
    "import pyro.distributions as dist\n",
    "\n",
    "smoke_test = ('CI' in os.environ)  # ignore; used to check code integrity in the Pyro repo\n",
    "assert pyro.__version__.startswith('0.3.0')\n",
    "pyro.enable_validation(True)       # can help with debugging\n",
    "pyro.set_rng_seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Throughout the tutorial we'll want to visualize GPs. So we define a helper function for plotting:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# note that this helper function does three different things: \n",
    "# (i) plots the observed data; \n",
    "# (ii) plots the predictions from the learned GP after conditioning on data; \n",
    "# (iii) plots samples from the GP prior (with no conditioning on observed data)\n",
    "\n",
    "def plot(plot_observed_data=False, plot_predictions=False, n_prior_samples=0, \n",
    "         model=None, kernel=None, n_test=500):\n",
    "\n",
    "    plt.figure(figsize=(12, 6))\n",
    "    if plot_observed_data:\n",
    "        plt.plot(X.numpy(), y.numpy(), 'kx') \n",
    "    if plot_predictions:\n",
    "        Xtest = torch.linspace(-0.5, 5.5, n_test)  # test inputs\n",
    "        # compute predictive mean and variance\n",
    "        with torch.no_grad():\n",
    "            if type(model) == gp.models.VariationalSparseGP:\n",
    "                mean, cov = model(Xtest, full_cov=True)\n",
    "            else:\n",
    "                mean, cov = model(Xtest, full_cov=True, noiseless=False)\n",
    "        sd = cov.diag().sqrt()  # standard deviation at each input point x\n",
    "        plt.plot(Xtest.numpy(), mean.numpy(), 'r', lw=2)  # plot the mean\n",
    "        plt.fill_between(Xtest.numpy(),  # plot the two-sigma uncertainty about the mean\n",
    "                         (mean - 2.0 * sd).numpy(),\n",
    "                         (mean + 2.0 * sd).numpy(),\n",
    "                         color='C0', alpha=0.3)\n",
    "    if n_prior_samples > 0:  # plot samples from the GP prior\n",
    "        Xtest = torch.linspace(-0.5, 5.5, n_test)  # test inputs\n",
    "        noise = (model.noise if type(model) != gp.models.VariationalSparseGP\n",
    "                 else model.likelihood.variance)\n",
    "        cov = kernel.forward(Xtest) + noise.expand(n_test).diag()\n",
    "        samples = dist.MultivariateNormal(torch.zeros(n_test), covariance_matrix=cov)\\\n",
    "                      .sample(sample_shape=(n_prior_samples,))\n",
    "        plt.plot(Xtest.numpy(), samples.numpy().T, lw=2, alpha=0.4)\n",
    "\n",
    "    plt.xlim(-0.5, 5.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data\n",
    "\n",
    "The data consist of $20$ points sampled from\n",
    "$$ y = 0.5\\sin(3x) + \\epsilon, \\quad \\epsilon \\sim \\mathcal{N}(0, 0.2).$$\n",
    "\n",
    "with $x$ sampled uniformly from the interval $[0, 5]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 20\n",
    "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n",
    "y = 0.5 * torch.sin(3*X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n",
    "\n",
    "plot(plot_observed_data=True)  # let's plot the observed data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define model\n",
    "\n",
    "First we define a RBF kernel, specifying the values of the two hyperparameters `variance` and `lengthscale`. Then we construct a `GPRegression` object. Here we feed in another hyperparameter, `noise`, that corresponds to $\\epsilon$ above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "kernel = gp.kernels.RBF(input_dim=1, variance=torch.tensor(5.),\n",
    "                        lengthscale=torch.tensor(10.))\n",
    "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see what samples from this GP function prior look like. Note that this is _before_ we've conditioned on the data. The shape these functions take&mdash;their smoothness, their vertical scale, etc.&mdash;is controlled by the GP kernel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=gpr, kernel=kernel, n_prior_samples=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, if we make `variance` and `noise` smaller we will see function samples with smaller vertical amplitude:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kernel2 = gp.kernels.RBF(input_dim=1, variance=torch.tensor(0.1),\n",
    "                         lengthscale=torch.tensor(10.))\n",
    "gpr2 = gp.models.GPRegression(X, y, kernel2, noise=torch.tensor(0.1))\n",
    "plot(model=gpr2, kernel=kernel2, n_prior_samples=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inference\n",
    "\n",
    "In the above we set the kernel hyperparameters by hand. If we want to learn the hyperparameters from the data, we need to do inference. In the simplest (conjugate) case we do gradient ascent on the log marginal likelihood. In `pyro.contrib.gp`, we can use any [PyTorch optimizer](https://pytorch.org/docs/stable/optim.html) to optimize parameters of a model. In addition, we need a loss function which takes inputs are the pair model and guide and returns an ELBO loss (see [SVI Part I](svi_part_i.ipynb) tutorial)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = torch.optim.Adam(gpr.parameters(), lr=0.005)\n",
    "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n",
    "losses = []\n",
    "num_steps = 2500 if not smoke_test else 2\n",
    "for i in range(num_steps): \n",
    "    optimizer.zero_grad()\n",
    "    loss = loss_fn(gpr.model, gpr.guide)\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# let's plot the loss curve after 2500 steps of training\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see if we're learned anything reasonable:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=gpr, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here the thick red curve is the mean prediction and the blue band represents the 2-sigma uncertainty around the mean. It seems we learned reasonable kernel hyperparameters, as both the mean and uncertainty give a reasonable fit to the data. (Note that learning could have easily gone wrong if we e.g. chose too large of a learning rate or chose bad initital hyperparameters.)\n",
    "\n",
    "Note that the kernel is only well-defined if `variance` and `lengthscale` are positive. Under the hood Pyro is using PyTorch constraints (see [docs](http://pytorch.org/docs/master/distributions.html#module-torch.distributions.constraints)) to ensure that hyperparameters are constrained to the appropriate domains. Let's see the constrained values we've learned."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.20291312038898468"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gpr.kernel.variance.item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5022153854370117"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gpr.kernel.lengthscale.item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04272938147187233"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gpr.noise.item()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The period of the sinusoid that generated the data is $T = 2\\pi/3 \\approx 2.09$ so learning a lengthscale that's approximiately equal to a quarter period makes sense."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fit the model using MAP"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need to define priors for the hyperparameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define the same model as before.\n",
    "kernel = gp.kernels.RBF(input_dim=1, variance=torch.tensor(5.),\n",
    "                        lengthscale=torch.tensor(10.))\n",
    "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.))\n",
    "\n",
    "# note that our priors have support on the positive reals\n",
    "gpr.kernel.set_prior(\"lengthscale\", dist.LogNormal(0.0, 1.0))\n",
    "gpr.kernel.set_prior(\"variance\", dist.LogNormal(0.0, 1.0))\n",
    "\n",
    "optimizer = torch.optim.Adam(gpr.parameters(), lr=0.005)\n",
    "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n",
    "losses = []\n",
    "num_steps = 2500 if not smoke_test else 2\n",
    "for i in range(num_steps):\n",
    "    optimizer.zero_grad()\n",
    "    loss = loss_fn(gpr.model, gpr.guide)\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs4AAAFpCAYAAACMHa7nAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3Xl4VOXZx/HvmX0mM9lXdhEwKiJaFW21tdpqrVpttXXrW5eqdW21uNS6K2pdqLu1WLVabUWr1rWtrSvIvgQIhCQQsu+ZycxkJrOe8/4xQEERAiQ5Zyb357q8LiFD5obM8pvn3M/9KJqmIYQQQgghhNg5k94FCCGEEEIIkQ4kOAshhBBCCDEAEpyFEEIIIYQYAAnOQgghhBBCDIAEZyGEEEIIIQZAgrMQQgghhBADIMFZCCGEEEKIAZDgLIQQQgghxABIcBZCCCGEEGIAJDgLIYQQQggxABa9C/gqhYWF2oQJE/QuQwghhBBCZLjly5d3a5pWtKvbGTY4T5gwgWXLluldhhBCCCGEyHCKojQM5HbSqiGEEEIIIcQASHAWQgghhBBiACQ4CyGEEEIIMQASnIUQQgghhBgACc5CCCGEEEIMgARnIYQQQgghBkCCsxBCCCGEEAMgwVkIIYQQQogBkOAshBBCCCHEAEhwFkIIIYQQYgAkOAshhBBCCDEAEpyFEEIIIYQYAIveBQghhBBCCONLqhrhWIJoQiWaUEkkVRKqhprU0ACTAiaTgsVkwmJWsFlM2C0mHFYzVnNmrNVKcBZCCCGEENtJqhr+/ji+UJSOQJSuvih9kQSpiKygwOb/217q65tvsflGGuCwmMh12Sh028jPsuNxWPA4LFjSLFBLcBZCCCGEEETiSbqCUep7QrT4+kmq2tbQ67SaKfbYUZQvRuWBiSdV+iIJevqixNQACqlcXeC2MSrXSbHHQa7LisNqHsy/0qCT4CyEEEIIMUKpqkZnMEptZ5BGbxhV1XBazeS5bJhNexaSd8RqNmE1m3BvEz1VTSMST7K2JcBqzQ9o5LtsjCvIoiTbQX7W4NYwGCQ4CyGEEEKMMNFEkobuMJWtfkLRBE6rmSK3HdMerijvCZOi4LJZcNlScVTTNPrjSVY396JqYDbBmDwXEwqyKHTbcdr0X42W4CyEEEIIMUJE4kk2dvWxptlPQtXIdVrJznHqXRYAyheCdFLV6PBHaOgJAQpFHjv7FmZRkuPA47DqUqMEZyGEEEKIDJdIqtR1hVjR6COpauRn2Qw/6cJsUsh12YDUanQolmTRJi8AeS4rk4o9lOY4yHEOX4iW4CyEEEIIkcFae/tZsslLXzROvsuOzWLswLwjiqLgtltw21PRNRxLsLzeSxKNHIeNySVZjMp1DXmIluAshBBCCJGBUuHSx6aeELlOK6XZxmjJGAzbtnT0x5KsaPCxrMFHrtPG5GI3ZbnOIQnREpyFEEIIITKIpmnUd4dYtMmLApRlO/Z4jFw6cNrMOG2pDwVbQnSywUue08bkEg9luQ6yB6knWoKzEEIIIUSGiMSTLN3kpa47RKHbht2i/ySK4ZQK0am/87btHFtC9N72REtwFkIIIYTIAJ3BCPNquoklk4zKyexV5oHYtp3jiz3Rk4qzGLW5nWN3/p0kOAshhBBCpDFN01jfHmBpvY8ch5Ucp0Pvkgzniz3RK5t6Wd7gI8thYd9CN5jMA8rEEpyFEEIIIdJULKGypN7Lxs4gJR4HFoOPmDOCbds5ovEk61r9mBye3IH8WQnOQgghhBBpqC+a4JPqTvz9cUblOEd8a8aesFvNFFnNMMB/OgnOQgghhBBppqcvykfrOwEo8UhrxnCR4CyEEEIIkUaafWE+qe7a7kAQMTzkX1sIIYQQIk1s6Ozj8w3dFGbZsFtH1qg5I5DgLIQQQghhcJqmUdUWYGm9l2KPA6tsAtSFBGchhBBCCAPTNI1Vzb2savJTku3AYpLQrBcJzkIIIYQQBqWqGisafaxt9VOW7cRkkskZepLgLIQQQghhQKqqsbzRR1VrgLIcJyYZN6c7WesXQgghhDCYbUNzaY5DQrNBSHAWQgghhDAQTUu1Z0hoNh4JzkIIIYQQBqFpGhVNvaxt9UtoNiAJzkIIIYQQBrG2NcDq5s0bASU0G44EZyGEEEIIA6huD7Cs3kdptkOmZxiUBGchhBBCCJ3Vd4dYtMlLabYds4Rmw5LgLIQQQgiho9beMPNquynKsmOREwENbVB+OoqiPKcoSqeiKJVf8XVFUZTHFEXZoCjKakVRDh3I99U0bTDKE0IIIYQwpJ6+KB9Xd5HnsmKzSGg2usH6Cf0Z+N5Ovn4SMHnzf5cCf9jVN4zGVd5Y0UxFo4+uYJSkKiFaCCGEEJkjEInzYVUnWTYLDqtZ73LEAAzKyYGapn2mKMqEndzkNOBFLbWEvEhRlFxFUco0TWv7yu+JRl80SVVbkMrWAFazwr5FbsbluyhwS/+PEEIIIdJXJJ7k4/WdmBRw2+Ug53QxXD+p0UDTNr9u3vx7XxmcAaxmhSKPHYB4UmVjZx9VbQFsFhOTit2My8+iIMsmO0+HQSKpkthm1d9sUrBKH5YQQgix2+JJlXk1XfTHkxRm2fUuR+yG4QrOO0q2X+q9UBTlUlKtHJSNHrvd16xmEwXu1IMrkVSp7eijqjWAw2ZmSomHcfkucpxWFJl5uMeSqkagP04wksAbiuILx/H3xwnHkqg76Dc3KZBlt5DjtFLotpOXZSPXaSVLPjkLIYQQO6SqGsvqvbQHIpTlOPUuR+ym4Uo4zcC2SXgM0PrFG2maNgeYAzD14EO+sqnZYjZRuDlExxIqlS1+VjX7yXNaKS/1MCrPicsm4W1XVFXD3x+nKxil0RuiMxhly6Ky1aRgs5iwWUwUum07HMKuahrxpIovFKOtN0JS00ADj9PCPoVZjM51kp9lkw8zQgghxGaVrX5qO/ooy3HoXYrYA8OVLt8GrlIU5RVgBuDfWX/z7rBZTBR7Ug++cCzBok09sElhdK6TKaUeSjwy2mVbSVWjpy9Kky/Mpq4Q/YkkJsBls1CYZd+ttheTomC3mLFbzHi2ef5H4knWtvhZ1eTH47Cwf1k24wtcsvFBCCHEiFbfHWJlo4/SbKcsKqWpQQnOiqL8DTgWKFQUpRm4HbACaJr2NPA+8H1gAxAGLhyM+/0il82Cy2ZB1TS8oRgfVXVgs5iYXOxhQmEWea6R2cqhbf73aOgJs6ErSCyuYTEr5Dit5Lpsg35/Dqt5a0iOxJMsq/eyrMFLeamHKSUePA7roN+nEEIIYWTdfVHm13ZTKAMO0tpgTdU4Zxdf14ArB+O+BsKkpEJhjtNKIqlS0xFkbaufHKeNA8pGTitHXzRBkzdEdXsfwUgC6+awbHUN3wr8lhCdVDVqO4JUtQYpL/NwwKjsEfEzEEIIIULRBJ+s78TtsGC3yNXXdJbxyWXbfuj+WHJrK8eYXCeTSz0Ue+wZNR0inlTpCESoaQ/S6u9HIRWW9e6lMpsUCt0OVFWjtjNITUeQQ8blMrnYI600QgwRTdMIx5IEInGC/Ql6+2OEokmiiSSaBooCdouZLLuZPKeNbFdqwUHaqoQYPPGkymc1XaiaJmPnMsCI+gk6bWacNieqptETitFc1YHZrDC52MO4Atdu9/gahaZp+MJx6rtD1HYGiSdUnDYLJR6H4VpTTCaFIreDeFJlab2P2o4QR+6bv7VPXQixd5KqRndflGZfmPruEP1xFUiNNrJZTFhNJkym1JU5TYP+WIzuPo3aRF9q1JEGuS4rE4uyGJ2XmlYkhNgzmpaaoNETilKaLRM0MsGICs5bbNfKof5vPrTTamZyiZsxeS7yXMafDx2KJmjx9bO+PYi/P4bVbCLXaU2LFVyr2cSoHCd9kQT/qmznwFHZTBuTm1Gr/0IMJ39/nLquPmo7g0TjKjazCY/DSo5zV8+pL68u98eSrGzqZXmjjxKPgwNH51CW7TD8a6IQRlPTEaRGJmhklBEZnLdlMf1vPnQsobKuNcDqZj9Om5l9i9yMznNSkGWcRv7+WJKOQD+1HX20ByIoikKOw5q2syDdDgsum5mqtgDNvn6OmVxEftbgb1gUIlN1BaOsbfHT7OvHZII8l438vdzHkLo6lwrUwUicD9d1kOuycej4XEbnyjQAIQaiMxBh8SYvJR77Dke6ivQ04oPztmwWE0WbWwZiCZX1bUHWtgSwmBVG5zkZn59Fvts2rD1KmqYR6E/QFYywsTtEVzCKBrhtZkqzjdeKsSdMJoXSbCfBSJz317QyY58CJhW7M+LvJsRQ8YZiVDT6aO7tx2U1U5JtH5LnjMdhxeOwEoom+LCqk1G5Do6YUECOS1o4hPgqoWiCj6u70uYqsBg4Cc5fIRWiN59UqKp0+CM0dIdBAafVxJg8F6U5DnKcVtx2y6A9MVRVIxhJ4O+P0+rvp9kbJpJQQQG31UKJZ2jeHI3A40htSlqwsYeuYJTDJuRjs8gLjhDb6o8lWd3SS3VbEJfNTNkwfYDOslvIslvwhWO8s7qFQ8flsV9ptmGuxglhFImkyrzaLkwKMj0qA8lPdAAsJtN2845jCZVGb5iajiCKoqCQOi0vP8tGvsuG227FbjVhM5uwmBXMJmW7yzRJVSOR1IglVaKJJP3RJN5wLPVfKAaAqoHDYsJtt5A7jOPj9JbqfXawqSeENxzjW1OKZO6zEKSuPm3qDrGk3oumaZTmOHS5/JvnspFIqixr8NHi6+eoSYUyKUCIbVQ09dIVjElfc4aSV7s9kDqK+n9BWtM0YgmVDn+Uxp4wqqYBqUANsKOzw7f92pbd7naLiSK39EIpikKJx4EvHOP9Ne18u7xIpm6IES0UTbCkzkujL0Sh2677HFjL5s293lCU91a3cex+RZRky3NUiPruEGtbAxKaM5gE50GgKAp2qxm71czmAxPFIMhz2QjHEnywtp1jJhUxvjBL75KEGHZN3jCfb+xGAUbnuvQuZzv5WXbCsQT/XtvO1/ctYFKxR++ShNCNPxxnwcZuCt22Eb8AlskkOAtDc9ksmE0KH9d0MSOeoLw0O2N7vIXYViKpUtHUy9pWPwVZdsMeSuKyWbCaTXy+oYdQNMG0MbnyHBUjTiyh8lltF3aLWfcrQmJoSXAWhme3mCnNtrNkk49IXOXgMbkyT1ZktHAswbzabjoDUcpynIZfvbKaTZRmO6ho6iWW0Pja+Dx5jooRQ9M0VjR68UfilEpbYcaT4CzSgsVkoizbwZpmP/GkxmHyxiwyVE9flI/Xd5HU1LTqkzSbFMpynKxrC6BqGodPyJfnqBgR6rtDVLcH0/Y8BbF7Rs64BpH2TCaF0hwH69sDLKrrIanuaNulEOmr2Rfmn5XtWEwKBVl2vcvZbSZFoSzHQXV7kOUNPlR5jooM5++Ps7Cuh0LZ2D9iSHAWhjP32SeoWDx/u9+rWDyfuc8+kXpjznawoauPBRu7SSRVnaoUYnDVdgT5sKqTPKcVtyN9LwaalNQH3HVtAVY2+dA0Cc8iM8WTKvNru7GZTdLXPIJIcBaGs9/U6cyaeenW8FyxeD6zZl7KflOnA6kpJmXZDuq7wxKeRdrTNI3KFj8LNvZQ7LFvns6T3rZ8wK1sCVDVFtC7HCGGxOrmXrzh2HbnPIjMl77LGiJjTZ9xNLfMnsOsmZdyylnn8+7cF7hl9hymzzh6620URaE0205DTz+K0sPX9y2UE8xE2tE0jYqmXlY3+ynNdmTUY9hkUijJtrOk3keWzSLjJEVGae0Ns6YlwCiZXz7iyIqzMKTpM47mlLPO5+WnH+aUs87fLjRvsSU813eHWFTXI/2UIq1omsbyBh+rm3spy7DQvIXFZKLIbWPehi66+6J6lyPEoAjHEsyv7aHAZZMNsCOQBGdhSBWL5/Pu3Bc477JreXfuC1/qed4iFZ4dbOzqY2m9V8KzSAtbQvO61kBq3FwGv/naLWY8disfr++kL5rQuxwh9oqmaSzZ5EVFw2lL/7YqsfskOAvD2dLTfMvsOVxw9Y1b2zZ2FZ6r24OyGUkYnqZprGxMHWxSmuMYETvxs+yprsB5NV3EZU+CSGMbu/qo7wlRIH3NI5YEZ2E41ZUV2/U0b+l5rq6s+Mo/s2Unf2VLgDUt/uEqVYjdtqbFz5oWP2XZxj/YZDDluWx090VZ2dirdylC7BF/f5zFdV5KPA45HXMEk82BwnDO+vlVX/q96TOO3mGf87ZMm1eeVzb24rSamVziGaoShdgj69sCrGzspTTbkdHtGV+lJNtBVZufIreNfYrcepcjxIAlVY2FG7uxWUxYzbLmOJLJT19kFLNJodhjZ8HGHpq8Ib3LEWKr+u4QizZ5KfHYM3Ij4ECYFIUit4MFdT34w3G9yxFiwKrbA3QGo+RJi8aIJ8FZZByr2USh28anNV10BiN6lyMEHYEIn9V0Uey2Yxnhq1U2iwmHxcy8DdLvLNKDLxRjeYOPYnf6neYpBt/IfgUXGctuMZPtsPJhVaesbAld9YZjfFjVQZ7Lhs0iL7kAOU4rvlCM1c3S7yyMLZFU+XxjNy6bZcR/6BUp8igQGctls2A3m/iwuoNwTMZgieEXjiX4aH0nTqtZRld9QYnHwZqWAO1+uSokjKu6I4g3FCPHadW7FGEQEpxFRst2WoknVD6t7iKWkMvCYvjEkyqfbR6/5nHIm+4XmUwK+S4r82u7iMSTepcjxJf4QjFWNPgo9kiLhvgfCc4i4xVk2ekJx1i8SU4XFMND0zSWbvLS0xejIEvedL+Ky2YhrqqsaPDpXYoQ20mqGgvrelItGiaJSuJ/5NEgRoQSt526rhCrW6SnUgy9qrYAtZ1BWakagMIsOxu6+mjyhvUuRYitajoC9PRFpUVDfIkEZzEibDldcFVTL5u6+vQuR2SwFl+YpfU+SrLlkISBUBSFfJeNRXU90rIhDMHfH2d5Qy9FMkVD7IAEZzFimE2pGbLzN3TTFYzqXY7IQIFInM9quynIssnl3d3gsJpJqCorG6VlQ+hLVTWWbOrBbjHJFA2xQ/KoECOKzWIi22Hlk+pOQlGZtCEGTyyR2gxoNSk4rDJBY3cVZNmp7QzKlA2hq/qeEK29/XLQifhKEpzFiJNlT500v2XigRB7S9M0ljd46e2PkytvuHvEpCjkOm0sqOuWCThCF+FYgiX1XgqlRUPshARnMSLluWx4QzGW1XvRNJm0IfbOxq4+ajr6KJE33L3islkIRxNUtfn1LkWMQBWNvaBp2C1yxUh8NQnOYsQq8tip6eijpiOodykijXlDMRbV9VDssctmwEFQ5HawutlPbzimdyliBGn3R9jQFSRfxkeKXZDgLEYsk6JQ4rGzeJOXzoD0VYrdF00k+aymiyybBatsJBoUZpOC02pmySavzF0XwyKeVFlU10OOw4ZJPvyKXZBXejGiWcwmcp1WPqnuks2CYrdomsayeh/hWEJOBhxkuS4bbf5+GnpCepciRoDq9iDBaGLr/hchdkaCsxjxXDYLoDF/QzcJ2SwoBqiuK8SGzj6Z9TpECrPsLK33yWxnMaQCkTgVjb0UuWVTrxgYCc5CAPlZdjoDUSqa5GRBsWv+cJxFm3oocktf81CxW83EVZW1rbJRUAwNTdNYvsmHzWKSuetiwOSRIsRmJdl21rYGqO+Wy8Piq8WTKvM2dOGwmLFZ5CV0KBVl2VnXGpCNgmJItPT20+gLk+eSVisxcPKqL8RmJkWh0G1jwcZu/OG43uUIg1rT7McXjpPjlDfboWbafJiMjI0Ugy2eVFmyyUu+yyZXjcRukeAsxDbsFjN2i5l5tV1yCIP4knZ/hDWtfpnXPIzyXDZaeiM0+/r1LkVkkPVtQULRBE6bzGwWu0eCsxBfkOO00huJs7xBVrnE/0TiSebXdpHntGIyyQrVcMpzWVna4JWTPsWgCEbirG7ppcgjH4DF7pPgLMQOFLtTh6Nskn5nQWoT0dJ6L3FV3TyFRQwnl81COJJkQ6ccViT2XkVjLxaTIhsCxR6RR40QO2BSFIrcdhbW9cjGJEFDT5i6rhCFcqqYbgrcNlY29hKOybx1sec6AhE29fSR75Lxc2LPSHAW4ivYLCYcFjPza7vlEvEI1hdNsLCum0K38TYRzX32CSoWz9/u9yoWz2fus0/oVNHQsZpNKApUtgT0LkWkqaSqsWSTl2y78Z7LIn1IcBZiJ3KcVvz9cVY2ynznkUhVNRbX9WBWFOwW420i2m/qdGbNvHRreK5YPJ9ZMy9lv6nTda5saBS47FS3B/GF5CqQ2H313SF8oRhuh7RbiT0nwVmIXSjy2KlqC9DklX7nkWZDZx8tvn7yDdqiMX3G0dwyew6zZl7Knx+/n1kzL+WW2XOYPuNovUsbEqnxdCYqGntl467YLZF4kmUNXgrkhECxlyQ4C7ELJkWhMMvG/A09BCMy33mk8PfHWdrgNfzO++kzjuaUs87n5acf5pSzzs/Y0LxFrtNKU2+YjkBU71JEGlnfHiChaoa8ciTSiwRnIQbAbjVjMSks2NhDUpWVrkynqhqL6nqwmU1YzcZ6mfxiX3PF4vn846U/MX3G0bw794Uv9TxnGkVRyLZbWVbvRZXnohiAQCROZXNANveKQWGsdwQhDCzPZaMzEGFtq1/vUsQQq+kI0uGPkGfAnffb9jVXLJ7PHb+8EFA47xfXbG3byPTw7HZY8IVjNPRI+5TYtVWNvVgtCmaZvy4GgXTIC7Ebij0OKhp7Kc1xUOxx6F2OGAL+cJxl9T6KDdqisW1f88QpBwAKdzz23NYWjVtmz6G6siLjWzbyXDaWN/oYk+8y3FUBYRydwQh13SFG5cjrtRgc8mojxG4wmxRynFbm13YTiSf1LkcMsqSqsbCuG4fVhMXAYWxLX/PKxfM5/ac/3y4kT59xNGf9/CodqxseDquZ/rgqh6KIr6SqGsvqfXjsFhk/JwaNcd8ZhDCoLLuFaFxlRYNPdvZnmJqOAF3BGLkGbNHYVsXi+bw79wXOu+zaEdHX/FUKs2ysbPTLh1ixQ82+MN3BKNlOq96liAwyKMFZUZTvKYpSrSjKBkVRfrODr1+gKEqXoigVm/+7eDDuVwi9FLpt1Hb20dAT1rsUMUj84TjL63spMvi4qi2zmm+ZPYcLrr5xxPQ170iqRUNjXasciiK2F0+qLGvwGXKfgkhve93jrCiKGXgS+C7QDCxVFOVtTdPWfeGmczVNy/zrhxnKFOnH0d6KrbsTW3cn5kgEJZkETSPhdpPIziWWX0h43ARUV5be5Q45RVEodNtYWNdNgduGxyErGulMTZMWDYDqyortZjVv6XkeaF/z3GefYL+p07e7bcXi+VRXVqRli0dBlp11rQEml7jleSi22tQVIhRNUJbj1LsUkWEGY3PgEcAGTdPqABRFeQU4DfhicBZpwhSN4KlcRd6KxWSvXoF7QzXO5gYUdWDHTkdKRxEsn0rvoUfQe+gMAgcdgmbJvH2odosZiynJoo09HL9/CSbZsZ22ajqCdAaijMo1/pvsjsLt9BlHD3gz4JapHFvC97Yr2OnIbFKwmBUqW/wctW+h3uUIA4jEk6xo9FEg4+fEEBiMNDMaaNrm183AjB3c7gxFUb4J1ADXaprWtIPbCJ1Ye7oo+vgDij7+N/kLP8McjWz3ddVspn/seGKFJUQLi0g6XVvDsCUYwBrwY+9sx9nUgKO9FUd7K0WffABALC+fruO+R8cJp+I96ptgzpwB9HkuG629/axvD3DAqBy9yxF7wN8fZ3mjz/AHnQyWbadynHLW+bw794W0P20wP8tGbUcf+5Vmk58ll+ZHuur2AElNw2Yx9tUjkZ4GIzjvaJntizum3gH+pmlaVFGUy4AXgOO+9I0U5VLgUoCy0WMHoTSxM0osRuFn/2XUm69QMO9DTMn/bbDpm1yO79AZ+A89guCUAwhPmIhm23WwUBIJHC2N5KxeQe6KJeQvmoercROjX/8ro1//K/2jx9L845/ResY5xPMzY3Wo2GNneYOP0hynvGmnGVXVWGLQg072mqZh9XbjaGvB3J/qxddMZmKFxRxyyOFbTxs877Jr0zo0Q+p0T6fNzKrGXr69f7He5Qgd9UUTrGkJUGjwvQoifSl7OxVAUZSjgDs0TTtx869vAtA07b6vuL0Z8GqattPluakHH6L9ds4/ZFbuELC3tzL2pWcY9Y+52HxeILWi7P3GsXQedxLdx36XWFHJ4NyZppG1YT3F/3mPsrdexdXcCEDS6aTpnItouPDyjAjQwUgci9nE96aWZl4Ay2C1HUEWbuxJixaNXTH1hylY8Cm5yxeRu2IJ7pqqL1052kJTFJoVheaJk/l7SxP733Y/E37w42GueHBpmkZbIML3DiylOFveN0aqRXXd1HeHKXSPjCtIYvCceER5Q7LPN2FXtxuM4Gwh1X5xPNACLAXO1TRt7Ta3KdM0rW3z//8QuFHTtCN39n0lOA++rNoqxj/3FKXvv4kpkQBSK8utp59N+ylnECssGtoCVJWCzz9m7MvPUjjvIyAVoOsvupKGi65EdaR3eGnz93PAqGy+Nj5f71LEAAQjcd5Z1Uqey5a+H3Y0jfwFn1L2zt8p+u/7WPq3n/ISz84lUjaahMcDGijJBEpTA1k9XV+63Ni2zyQC51xA2ylnksjJHb6/wyAKRuI4rGa+N7VU5vaOQL3hGO+saqMk245Jfv5iNw1bcAZQFOX7wCOAGXhO07R7FEW5C1imadrbiqLcB/wASABe4HJN09bv7HtKcB487vVr2fex31H06X8A0EwmOk48lcaf/YLAQYeADi8wnsoKJj41e2tN/aPGUHPjXXQdf5Iu9QwGVd284jW1lBJZ8TI0TdP4eH0n3X1R8tNwA5ESj1Pyr7cY/9yTeGqqtv6+/6BD6Dn62/QeOgP/QYeQ9GR/6c/OffYJyvc/iK8Xl5C7fDF5SxeQ/9G/sW1enU64smg+63waz//F4F15Gkat/n6OKy9mTJ5L71LEMPu4upOuQFRa5sQeGdbgPBQkOO89Z2M9E594gLL33gAg6XDS+qNzaDj/F0TGjNe5upTcZQvZ756b8dSkhrB0nHAK62/9Xdq2b4RjCeJJjZOnleGwZs4myExT19XHvNouRuemWbiikOQZAAAgAElEQVTSNAo++y9THriDrPqNAESLSmg+63zaT/4R/eMm7NG3NfWHKfrkA0a9/lcKFn4GQNJmp/GCy9h0yS/TasRkOJZAA06ZNgqzTLoZMTqDEf5V2U5ZtkOuNog9IsF5BLP2epn4xIOMfu0vmBIJVKuN5rMvYNMlVxMvGOJ2jD2gJBKMnvsCkx65F0s4RLSgkKo7ZtN93Il6l7ZHOoMR9inMktFYBhWKJnh7VSvZDgt2S/p8uHE2NbDfrN9QOP9jAMLj9qH+kqtpO+WMAW3cHShPZQX7PPMYxf99H0iNl6y54U46Tzx10O5jqLX5+/nGpEImFrn1LkUMA03T+PfadkLRJDnDdEpgps1DFxKcR6ZkkjGvvsi+j92PNdCLZjLR9oMfU3fldURGGX9KiaOlkQNuvob8pQsAaLjgMjZcczOaNb0ONVA1jTZ/hOPKixmbn2YrmhlO0zQ+remi3R9Jn81DmsboV19k8oN3YukPE/dks+nymTSdcyGabeguSeesXMp+995M9rrVALSd/COqb7mPRLbxxy5G4kkiiSSnTR+dvv3rYsBae/v5z7oORg/jJt9t559/cR76YE6psQT8eNZX4q6twt7Rjr2zHUugFyWRREkmUO0OEjk5xHPy6R8zjvD4fQjtM4nI6HFp2/aoFwnOI0zO8sWU3/NbPNWpPZneGUdTfdPdhCbvP+j3NaSftFWVcS/OYdLDszAlEvROP5w1v59DtKRsL6seXpF4klAsyakHl+GyZd7hL+mqvjvEpzVdjMpJj8u5Vm83B9509dZV5vaTTqP6t/cMXyvT5g/jk2ffhbm/n0jpaCofeJLer+10b7chtPsjHDYhj/KyL/d5i8yhqhrvrWkjqWq47cP7WrslLA/mPHRTNELeks8pmPcRBZ9/srUla3fF8gvwH3QovYcdSfcxxxGaVC5BehckOI8Q5mCAybPvZsxrfwGgv2w0tTfcSed3Tx6yJ8lwfNLOWbmUg2ZeiqOjjUhxKauefJHgAdMG5XsPl+5QlFE5Do6ZXJQWIS3ThWMJ3lnVittmwZ4G/eeeygoO/tXPcbS3EMvJo/rW++g46XRdanHVb+TA31xFzpqVqBYLNTfeRfM5Fxr6jTieVPH3xzn9kNGy3yCDNfSE+LS6S7eRkn9+/P6t89AvuPrGPfsmmoZn7SpGvfE3St9/E2swsPVLSbuDvsnlBMunEhk1hmhxCfGcfDSrBc1kxhyNYPH3YvP14GxqwNVQh7tm3dZRs1tESkfR+Z2TaT/5h7oNBTA6Cc4ZYmeru1dN2Jfyu3+DvasD1WKl/udXUX/J1ajOoW8PGIpP2l9k9XYz7ZqLyVu+iKTTSeUDf6DruO8N6n0MJU3TaPVHOGay9FrqTdM0Pt/YQ7M3RKHb+K8pZf+YS/mdN2CORfFPO5TVD/+JaOkoXWtS4nH2ffReJjz/BwBazjiX9bfcN6j91YOtPRhh2ugcpo1Jz/F6YucSSZW3V7ViNZlw2ob/w9Fevw9qGgXzPmSfPz5KbsXSrb8dLJ9K17HfpeeY4wlMnb71lN7d+b7O5kZyVi0jf8GnFMz/CHtP99Yvh8dOoOXHP6X1jHOJ58r41C0kOGeIHa3uzrn2Yt6dVM6U5YsA6D34a1TdNTt1KWYYDcon7V1QYlH2v/06Rr39GpqisP7W39Fy1vlDcl9DIZpIEojEOWXaKDyO9OrVziRN3jAfre80fouGpjHxqYeY+NRsAJrP+hnVv7nbUOG09N3X2f+2mZijEXqO+iarH32OZJYxPxgmVBVvKMZp00eTNcyX8cXQq+0Isqiuh7Kc4V9t3tsrr7lLFzDlwTvIXpvaQxDPzqXttJ/Q8qNzCE0Z5BZLVSW7soLS9/9Byb/ewt7VAaQm53ScdBpN515EcOr0wb3PNCTBOYNs+6nW8Zc5PKGBIxwi4XSx8drf0nT2hWAe3k/bw7HivJWmsc8fH2Hfx+8HYMM1v6X+4qvT5lKTN5SaK3pceQkmGY817CLxJG9XtOKymQ19yV6Jxym/+0ZGv/5XNJOJ9TffS8vZF+hd1g551q5i+uU/xd7Thf/Ag6l4+mXDjpDs6oswqcjD4fvIylomiSVU3lzZjNuuz3ScPd3rY29tZspDd1Ly73cAiBYU0XjBZTSfdf7wfABNJimc9yFjXvnz1oPIAHqOPIZNl/+a3sOOGvoaDEqCc4Z59aE7Ofb5P3Du5l93H3McVbc9QHTUmGGvZbh2E3/R6FdfpPyuG1E0jfqLrmTDr29Jm/Dc2tvPkRMLmFLq0buUEWfBhm4avCGKDNyiocRiHHT9ZRT/932SDieVDxq/LcnZWM8hl56Fq6mB0IR9Wf7868SKS/Uu60tUVaMjGOEH00cP26gyMfTWtfpZ3uDTZbV5j2gao197ickP3I6lP0zS4aT+4qtpuOCyYWmv3BFnYz1j5v6Z0a+9hCXUB4DvsCOpu3wmvhlHp83762CR4JxBel54mq8/eBdjNZUQMP+CyzBfd7tuD2o951eWvP8PDrzpKkyJBJsuvpqN1/w2LZ7c8aRKTyjGqdNGkeOSN+/h0uwL82FVJ2U5DsMewavEoky79hKKPvmAuCebiqf/in/6YXqXNSC2rk4OufRsPDXrCO0zKRWeDXjaoDcUpSzHyTFTjDfHXuy+SDzJGytayHNZ02LcoK2rgwNuvXbrCm/Hd0+m5sa7iJaN1rmyFIu/l3EvPcPYl/6ENeAHoOeob1I78zb69p+qc3XDR4JzBlBiUTw3/ZLD/vUWJlLH6b527kVc98DtQ766a2RFH/6Tg669GFMyycYrr2fTFTP1LmlAesMxsuwWTjiwVE40GwaReJJ3V7Vit5h12Tg0EEosysG/uojCzz4klpPHyj/NTbvpMdZeL4deeGYqPE+czPLn3yBWaKyAqmkabYEI3z+oLH3md4uvtKrJx9qWAMXZxs8HucsXcdCvL8Xe3Uk8O5f1t/6Oju/rMx1nV8zBAGP/+hzjn38KazCApii0nXomG6++UZer28NtoMHZ+B/VRqisDdUccc7JHPGvt0AxUXf5r1n2l7eZ8IMfc8vsOVRXVuhdom66jj+Jtfc/iWYyse+TDzL+T4/rXdKA5LpsdPdFWd8e2PWNxV5b2egjntQMG5pJJpl645Wp0JyXz4rn/p52oRkgnpvPimdfpW9yOVl1tRxyyU+wbF61MgpFUXBZzaxs9GHUxSIxMKFogsqWAPnuoTv8Z1BoGmNfnMOhF56BvbsT7+FfZ+Fbnxg2NAMkPdnU/+IaFvxrEQ0/+wWa2cKot1/j66cczT5PPYQp0q93iYYgwdloNI0xLz/LET85Ec/6SsJjx7P8pbepu+qGrSfoTZ9x9Ig/0rPjpNNZe8+jaIrC5IfvYeyLc/QuaUCKPHZWNPjo6YvqXUpGa/aFqekIUmDUN1dNo3zWTZR88C4Jt4cVz7xKX/mBele1x+L5hSx/9jVC+0zCU1PFwVefjyka0bus7eS6bLT1RmgPGKsusXuq2gKYTGAxGTe+KIkE5XfewH7334YpmaT+oitZ+adXDbkHYEfiufnU3ngnC96bT/tJp2OORtj3yYc48vRjKfj0P3qXpzvjPvJGIFtXB9MvO5fye2/GHI3Q+sOzWfz6h2nT7zjc2n/wY6rueAiA/e6/jZL33tS5ol2zmEy47RYWbOwhnlT1LicjReJJFm7sId9lN2xf88THH2DMqy+StDuoePLFjOgjjBcUsXLO34gUl5K3bBFTb7gSkkm9y9pOtsPK8nofqiqrzukoEImzvj1Agcu47TamcIhpv7yAMa/9haTdwerfz2HDzFt3fxazAUTGjKfyoadZ9sKb9E0ux9XUwCFX/B/Trr4AR0uj3uXpRoKzQRR99C+O/OG3KZz/MbGcPFY//CfWzXrEsPNRjaL1zPOouf52AA68+VfkLl2gc0W75nFY6Q3HWNNsrMvZmWJFg4+Eqhq2RWPsX55h4h8fRjWbWTN7TkaNf4qMGsvKP/6NuCeb4v++x5QH79S7pO24HRa8oRhNvrDepYg9UNnsx2o2GXasp8Xfy9cuOpOiT/9LLCePFc++RueJP9C7rL3We9hRLH7tP1TfeBeJLDfFH/2Lo079JhOeeQwlHte7vGEnwVln5lCI/W+bycFXX4DN56XnqG+y+M2P6DzhFL1LSxuN519G43k/xxSPcfAvL8S1sUbvknapxONgTYufTrlsPKiavGFqO/sozDLmilTRf95jv9/dCkDVXb+n+9sn6FzR4AtN2Z9VT7yAarEy7i9zGP3qX/QuaTv5WTaW1nvlik+a8YVibOzqI89lzPYra6+XQ3/+Y3LWrKR/9FiWvfwO/kMO17usQaNZrTT97FIWvPc5bSf/CHM0wqRH7uWIs0/Cs2613uUNKwnOOspevYIZZ36H0a+/TNJmp/o3d7NyzitES8r0Li29KAo1N95F5/EnYQ34OeSyc7FtPhnJqEwmhTyXlXm13UTixrqcna7CsQQLNvZQkGUz5OmA7qpKpt6U2ptQe+3NtJ1+ls4VDZ3ew46i6o4HAdjvnpvIWzxf54r+x2E1E4mpbOzs07sUsRsqmnuxW8yGbL+yers59MIzya5aQ3jcPix78S3C+0zSu6whESsqYe0DT7HiT68SHjMOz/pKDj/7JCbNvnvEbB6U4KwDJZFgn6dmc9hPT8XVuInglP1ZMvdfNP3fJWDgDQ+GZjZTef+T9B78NZytzUy/4v8w9Rv7cqzLZiGWUFnZ6NO7lLSnaRrL6r1oaIY8HdDW1cn0q87H3N9P62k/oWEEbO5t++HZ1F94OaZEgmnXXIyjuUHvkrYqcNtY0dgrH1rTRFcwSmNPmDwDzsA3BwMcesn/Zpkve+FNoqWj9C5ryHmP+iaL3vyYhp/9AkVVmfDck8z40fFp0S65tySlDTNnYz1fO/909n3yQUzJJA0XXMbSV/45+GfTj0Cq08WqJ14gPHYC2etWs//t14GmMffZJ6j4wopXxeL5zH32CZ0q/Z8Ct42ajj4ae0J6l5LW6rtDbOoOU2DAy7imaIRpv7oQR3sLvdMPS63EGnDVbChsuPYWur71HayBXqb9+hLDTNpIHZqhsa5VRkManaZpVDT5cNsthruSZOoPM/3Kn+FZX0lo/MTUDPM0mZwxGFRXFrU33snSl9+lb9J+ZDXUcdgFP6L8zhsw9wX1Lm/ISHAeLppG2Zt/Y8YZx5NbsYxISRnLn32N2uvvQLUbf4h7uojnF7LqiT+TcLooe+8Nxr3wNPtNnc6smZduDc9bjgjfb+p0nasFk6JQmGVjQV0PfdGE3uWkpWAkzsK6HgrdBmzR0DTK77ie3FXLiZSOZvWjz6PZjNl/PSTMZtbe9wThMePIXruaKfffpndFWxVk2Vnb6icQGXmbm9JJRyBKW2/EcMelK/E4B828lLzli4iUlLHyT3OJFRXrXZYuAgd/jcWv/YeNV16HarEy5tUXOeq0b1Gw+aTETCPBeRhYe70cdO3FHHjLtVjCITpOPJVFb3yE78hj9C4tI4UmlbP2d6nV5Mmz7+a4RIJbZs9h1sxL+fPj9zNr5qWGOnnRbjWjAIs2dsuYrN2kqhqL6nqwmk3YLcZr0Rj712cZ9fZrJJ1OKp54wXAn6g2HRE4uax7+E0mbnTFzX6T0nb/rXRIAZpOCzWJiVWOv3qWIr6CqqRasbIexQjOaRvndv0lNz8jNZ8Uzc4mMGqt3VbrSbDY2XXEdi//+Af6p03G0t3LIZedywM2/wuLPrOeYBOchVjDvQ4487VhK/vMeiSw3a+99jDWz55DIzdO7tIzW9Z3vU3f5r1FUlYOuu4yjysZwylnn8/LTD3PKWecbJjRvUZBlp9UfobpDLh3vjvXtAdp6I4bcaZ+9egWTH0iNY1t7z6MZMat5TwUPmEbNTbMA2P+O68mqrdK5opR8l41NPSE6g8ZoIRHba/aF8YZjuB3GmoE8/rknU5v67Q4q/vAS4X2n6F2SYYQm78+yl9+l9te3kLTZGfWPuRx12rco/Ojfepc2aCQ4DxFTOET5XTdwyGXnYe/uxPe1I1n0xoe0nfaTEdPfqLe6K66j69gTsAZ6mXLxT/jolT9z3mXX8u7cF77U82wExW47y+p9eEMxvUtJCz19UZY3+Cj2GK/1wdrrZdq1l2BKxGn86cUZMct1b7X8+Ke0/uDHmCP9TLvmYswh/fv6FUXBbbOwTA5FMZxEUmVZo488p7E+FBd/8C6Tf5/6ELj2vscJTDtU54qMR7NYaPj5VSx+40N6px+OvauD6Vefz4E3XIHV16N3eXtNgvMQSI2Z+y5j5r6IarFS++tbWP7860TGjNe7tJHFZKLy/ifpKR1FUUsjHxw4nQuuvnFr24bRwrPFnDpVcF5tF7GEzJjdmVhCZf6Gbtx2CxazwV7GVJUDf3MVjvYW/NMOpXamcfp6daUorL/tfvoml5NVv5Ep99+qd0UAZDutdAUjNMuhKIZS3xMiFEkY6iAjd/U6DrzpaiA1UrLzxFN1rsjYwvtMYtmL/6D6N3eTdDgpe+8NjjztWxT/+x29S9srBnvHSW9KPM7Ex+/nsJ+eSlZD3dYxcw0/vwrMxnnyjyRJt4fHTjiFuM3G1M8/puzNV5g+42humT2H6soKvcv7Eo/DSjCakBF1u1DR1EswmsBjtN5HYMIzj1E476PUCaCz56DZjLVipifV6WLNQ0+TtDsY/fpfKfrPe3qXBKRapZbIoSiGkRrT2Uu+gVqwLAE/0351EebIyBkpOSjMZpr+7xIWvfkxvsOPwt7TzbRfX8JB116MrbtL7+r2iATnQeKqq+Xw805m4tMPo6gq9RdewZK5/6Kv/EC9SxvxjrnxLmpuux+A8lk3kbVhPdNnHM1ZBn3hK3bbWd8epKFb/0vZRtTkDVHVFqDYbbwWjdylC9j3iQcAWHv/E0RHjdG5IuMJTSpnw8xbANj/9uuwd7TpXNHmQ1HiKjUdmTtCK51s6AwSTSSxG2Umu6py4E1X42qqJ7D/Qay/7X5pudxN/eMmsPy516m69XckXFmUfPAuR572LUrefQO09GqTkuC8t5JJxj3/FDPO/C7Za1fTP2oMy59/nQ3X3Tayxk4ZXNvpZ2/trzzo2ksM0V/5VbaMqPt8Y7eMyvqCYCTO/A3dFGbZDHeCmKXXx9TfXIWiqmy69Ff0HHO83iUZVtO5P6f76G9j8/s44OZfgar/Sm9hlo2Kxl4ZC6mz/liSiqZeCrKM8/454ZnHKPrkA+LZuax+5E+oDqfeJaUnk4mWsy9g0Vuf0PP1b2Hr9XLQjVdw8FXnY+ts17u6AZPgvBeyaqs4/NyTmfLQXZijEVpPP4tFb35M7+Ff17s08UWKwvpbf0ffxMm462opn3Wj3hXtlN1qxmo28XltNwm5fAykNgvNr+3GYjIZZyVqC01j/zuvx9Hein/aodRdcd3WLxn5AB7dKArrZj1KLC+fgoWfMe4vz+hdERazCbNJYVVTZo3OSjfr2vzAlkNq9Jf/+Sfs+/j9aIpC5QNPyl6lQRAZNZaVc15h3V2/J+H2UPTJBxx12rcoe/OVtFh9NsYjM80osRj7PDWbGWeeQE5lBZHSUax8+mXW3fMoSbdH7/LEV1BdWax5+BmSTidlb/+d0ndf17ukncpz2egOxaiQN3IAVjX30t0XM+TouVFv/I2SD94lkeWm8oE/oFn/13tt5AN49BQrKmbd3Y8AMOnhewwxoi4/y8aGrj4ZT6eTQCROVVvAMKvN9o42pt5wBYqmUXfFdXIVaTApCq1nnMvCtz6l+5vHYw34OfCWa5h+2bnY21r0rm6nJDjvJk9lBUecdWLqyOxEnOazfsbCtz6VJ1SaCE0qp/o3qVFC5Xf/BkdLo84V7VyJO3W6WZPXuK0lw6HJG6ayxU+JAUfPueo3st99NwOw/pb76B+7/YrUls2oRj2AR0/d3z6B5h//H6Z4jANuvgYloW+bhElRyLZbWLLJK+PpdLC62Y9188q/7lSVA377S2y9Xrq/8W02XXat3hVlpGjpKCqeeonK+x4nnp1L4fyPOeq0bzH61b8YdvVZgvMAmUMhJj10F0ec8308NVWEx05g+fOvs/62B2SVOc20nnEuncefhKUvyIE3/RKSSb1L+komk0Jhlp15td34+0dmv7O/P8682i4Ks+yYjPCGug0lFmPqDZdj7u+n7eQf0X7qmTu83fQZRxv6AB491V53G/1lo8lZu4pxz/9B73LwOKx4QzE2yebcYdXdF6Wuq88wV5TGvfA0BYvmEcsvYN29j4FJ4tKQURTaf/BjFr79GZ3f+T6WUB/733k9h/78xziaG/Su7kvkkbArmkbRf9/nqB98kwnPPwVAwwWXsejNj/Ad8Q2dixN7RFGouvMhokUl5C1fxASD95rarWbsFjPzakbefOdoIsm8mi7sFrPx+pqBfZ55NLUpePRY1t/6u6/caV+xeD7vzn3B0Afw6CXp9lB152wA9n3yQbI2VOtcERRk2VjW4CUSN+6H6kyiaRorGnxk2SyG2PTrqVrDpEfuA2DtrEeIFRbpXNHIECsqZvUjz7LmoaeJ5eWTv3g+R51+LOP/9DhKzDgHg0lw3glnUwPTr/gpB//qIhztLQQOmMbSl9+l9vo7UJ0uvcsTeyGeV8Daex4FYOKTD5K9ZqXOFe1cjtOKPxJnab0XzaCXrwabqmosrfcRiMTJcRpvXrO7eh0T5qQeQ2vveZSkJ3uHt9vS03zL7DmGPoBHT95vHEvLGeelWjZu0b9lw24xk1Q1Vjf7da1jpGjp7afNHzHE89zUH2bqDVdgSsRpOudCer71Xb1LGlkUhY6TTmfh25/RftLpmPv7mfzwPcw443jyDPKaKcF5B0yRfvZ5ajZHnvYtCj/7kLgnm/U338uSV/4px2tmEO83jqXx/y7FlEhw4I1XGnpEHaTmO2/oDFLVFtC7lGFR1R6grrOPIgPOa1YSCQ645RpMiQRNZ1+w00k61ZUV2/U0G/kAHj3VXH87kdJR5KxZybgX/6h3ORS67axvD9AVjOpdSkZLJFWW1fvIc+kfmgGmPHgHWXW19O07hdrr5NRPvcTzC6l86GlWzHmF0PiJuOtq+dpFZzL1+suxdXXoWpti1NWrqQcfov12zj8o9jiG7041jZL3/8Gkh2fh3Lyrs+0HZ1I783a5VJOhTNEIh599Ep6aKprP/Cnr73xI75J2KqGqdASifPeAYkblZu5Vj2ZfmA+rOinJtmMxYG/h+GceZ/Ij99BfNppFb31KMsutd0kZoWDehxxy2XkkbXYWv/kR4Qn76lpPMBLHajFx0tQyY2xYy0A17UEWb+qhLEf/2cj58z/m0F+cg2q1seSVf8oBZgahxKKMf/4P7PPHRzBHIySy3Gy86gaaz70IzWIZtPs58YjyhmSfb8Kubme8dySd5FQs4/BzT+agGy7H2dZCcMoBLH/+ddbe94SE5gym2h1U3v8USZudMX9/icKP/q13STtlMZkoyLLxaU0X/nBmbhb0hWJ8VtNFYZbNkKHZVVfLxKdSH7Cq7pwtoXkQ9RxzPK2n/QRzLEr5XTfqvqve47DiC8XZ0CknCg6FSDzJ8kafIcbPmfuCHHD7TAA2XnW9hGYD0Wx26n9xDQvf+Yyub5+IJdTHfvffxowzv0P+/I+HvR7jvSsNM2dTA1Ov+wWHn3cKOatXEC0sZt1dv2fx3/8jm/9GiNCU/dlwbWqc2P53XIe116tzRTvnsJqxmc18XN1JfyyzNi+Fogk+Wt+J02rMzYAkkxxw67WYY1FafnQO3m8cq3dFGaf2+tuJ5aY2BpW+83e9y6HQbWN5g09OFBwCa1v9aJqGzaJ/FJn80F2pA4ymTqfxgsv1LkfsQGT0OFY98QIVT75IeMw43LXrOfQX5zD90nOGdQ68/o9WndjbWym/8waOOuUblP7zLZJ2B3W/uJYF7y+g9YxzwWzAN20xZJp+ejG+w47E3tPFfvfcrHc5u5TjtKYmTtR2Ec+QkwWjiSSfVHehahoehzH6Hb9o7F+fI7diGdGiEmqvv0PvcjJSPK9ga2/plAdu1/2D7Ja5wssbRs7G3OHQG46xrjVAoQFWm/MXfsaY1/6CarWx7p5HBvXyvxh83ceewKK3P6N25q0k3B4KP/+YI390POV3XI+tu2vI73/EBWdbVydT7ruVr590FGNefRFFVWk97ScseO9z6n55o1x2HalMJtbNepSE00Xp+29S/MG7ele0SwVZdrqCURbV9aT9YQ2JpMrntd0E+uOGmeP6Rc7GeiY9ci8AVbc9QCI7R+eKMlfb6WfhO/wobD4vk34/S+9yyHfZqO8O0+wL611KRtA0jZUNvdgtZt1ns5tDfex/268BqLv814QmletajxgY1e6g4aIr+fyfC2k650I0RWHMa3/h6ycdycTH7scSGLqJOCMmONu6Opj00F1846QZjHvpGcyxKO0nncbCtz5l3b2PES0brXeJQmf9Y8ezYeatAJTffSNWb7fOFe1ascfOpu4Qyxt9absallQ1Ftb10OKPUGTAkwEBUFX2v30m5kg/7d//Id3Hnah3RZlNUai67QFUq43Rr/+V3OWLdC5HoSDLxqI6me08GFr9EZp8YUNM0pj0+1k4W5sJHDCNhouu1LscsZvi+YVU33Ifi/7xCV3HnoAlHGLiHx/mGycczj5PP4w51Dfo95nxwdnZUEf57ddx9HcPZ8LzT2Hu76fzuO+x6I2PqHzoj4QnTta7RGEgzWedj3fG0di8PZTPuknvcnZJURRKsx2sbfWzutmfduFZVTWW1Xup7w5RatTQDIz++0vkL/mcWH4B1b/VfwV0JAhPnEz9xVcBUH7H9bofgOCwmkkkNVY2+nStI93FkyqLN/WQ67Ki6HzYSc6KJYx95c+oFivrZj2CZtU/yIs9E544mVVPvsjSl9+l58hjsAYD7Pv4/XzjhCMY/9yTmMKDN242YzRgd7oAACAASURBVIOzp7KCg669mK+f/A3G/P0llESczu+czJJX/snqx/9M334H6F2iMCKTiXV3/56EK4uSf79D8b/e0ruiXTIpCmXZTlY2+ViXRjOeVVVjeYOP9e1BSrIdur+JfhV7WwuTH7oLgPU330s8r0DnikaO+kt+uXWG6/jNJ7fqqcBto6YjSGtvv96lpK2ajiChSBKXTd8+YiUWY/87rweg/udXSSbIEP7ph7Hy2ddY/tzf6T3kCGy9XibPvpujv3s4E598EKuvZ6/vI6OCsxKLUfLuGxx23qnMOOt7lHzwLprZQssZ57LwnXmsfvRZAgcdoneZwuAio8dt3fhVfvdNw7LZYG+ZTamV52X1Pta2Gv+0sy2huaotQFmOwxDH7O6QpvH/7N13mBXl9cDx79ze2/bed4FdYOlV7LERbFESjS0qMdYoKkaxi72LPxW70VhiF2tiiRIVK016L9v77W3m98fuEqXIArs7c+/O53n2YV0u9x7wzn3PzJz3nME3XoHO76PhsKNpOGKa3BENKKLRxMrr7gSg6NH7MG/aIGs8GkHAYzHy5domtWRjH3hDUX7c3EaaTf59DAXPPopt7SoC+UVs/PMlcoej6mWt4ybz3d/f4ofHXqR92EgMbS0U/989TD58NOW3zcZUs2WfnzspEmdj7TZKHridyYeNZOis83Et+paYzc7Gs/7Cfz/6hhU33UugqFTuMFUJZNtJf6R54oEY2loYdLP8/WR7QqfRkOEw8u2GFpZsbVNs2UZclFi4oZnltR1kKjlpBrLe/iepX3xC1OFi5ezbQMGxJqvW8ZOpmXYS2kiYijlXy34smg1aInFRLdnYS5Ik8cPmVvRaAZ1W3tTDvGUTRY/cC8DK6+5ANPbjoDVV/xEEWiYfzLf/eJfvnnmdpgMOQRsMkv/8E0w8cjyVV56PY/H3e/2ZkrA9V4RImLTP/kXWW6+Q8sXHaOKdZ//e8sFs/cNZ1B1zInGrVeYoVQlLEFh+4z1MOO4g0v/9HhnvvkH91BPkjmqPdBoNWU4zP25uIxoXGZHnln3X+s9FYiJfrmtiS0uAbKdyyzOgc0Nx+e2dm0VXX3UTkbQMmSMauNZcfh1pn35I6n8/Je3TD2k85EhZ40m1GVld7yPXbSHPk7wTPHvTtrYgm5oCZDllTlIliYqbr0IbDlE79URaJkyRNx5V3xME2sZMZNGYidhWLafgqYfJeP9Nst59nax3X6ejchhb/vCnnj+dUq9K7XLktiThWPojWW++TOb7b6HvaANA1OloOHwqW/9wJm0jx6lXhVS9Jvu1fzDkusuIOlx89fZ/EiZ5EkWJ2o4Qpek2xhZ50Mt8hQc6h5t8vrqR1kDkl8e1EkkSwy75E+kfv0/T5INZ9Og/1M8VmeW98AQVt84mmJPHV29/jmiSd0RzKBrHH4nz2+FZstfrKl04FuedxTUYtBrZ/60y3n+ToZefR9Th4sv5XxBNUScDD0Smmi3kvvQs2a/9A0NXr3it1dWjkdvKT5xtRuzLl5D+r3dJ/2g+1k3rtz/GO6iKmmNPpv7o49Wx2Kq+IUlUn3cKqQs+peGQI1ny4NMJk0BJkkSDN4zHamBKeRpWo3wLVpMvzGcrGxAlCY8CBh7sSfoHbzFs5p+JWW189eZnhLNz5Q5pwBNiMcae9Bvsq5ez/vyZrL/gCrlDoskXJsNh4sDyNEXd2VGa7ze1sKLOS6bMJ8xabwcTp07G2NTA8hvupuakP8oaj0p+mlCQjPffIu8fT+HetDmxE+ehpeXSK2MPpPDzDzFv+18RdzgljbrfnkjttJPVXbCqfmGs3caEYw9E5/ex9M5HqD/meLlD2ist/jAgcGBFGhmO/l24RFFibYOPhRuasZv02GRM3ntK39rMhGlTMLQ0s+L6O9l28ulyh6Tq4vr+a0affhxxg5Gv3/6cYF6B3CFR0xZkXLGHikyH3KEoUrMvzHtLa8mwm2Q/uSi743oKnnuMtuoxfPf3t0Aj/504lUJIEkeMG5zYifNoQZC+6/o+nJreuaP98Km0jR6vjsNU9bvsfz7PkBsuJ+Ly8PVb/0m4OxyBSIy2YJThuS4qsx39sjnHH47x7cYWNjcHSLMbFVEu0hOVV55P1ruv0zJ2Ej88+U91cVWYylkXkDX/tc47QA89I3c4ROMizf4wRw/NxmOVv1uEksTiIh8sqyMaF7Gb5O2RbF27knEnHIogSSx85SN8g6tkjUelPEeMHdSjxFmxK4Kk17Py92fz7d/f5otPF7Hq2ttpHT9ZTZpVsqj53ak0T5iCoa2FijnKH4yyI4tBR4bdxNKt7XywrI5Gb7jPXksUJdY1+Hh7cQ117SGynKaESZpTP/mQrHdfJ242s+LGe9SkWYHWzLyWmMVK+icfkPLFx3KHg16rwWrQ8cWaRsIxtUXdz62s89IaiMieNCNJVNw6G008ztaTTlOTZtV+UeyqEB5cyQ9/vZb2kWPVxUslP0FgxY13EzNbyPhoPukfviN3RHtNqxHIdJqIxkXeW1rLl2ub8Iaivfb8kiRR1x7ivWW1/HddEw6TjlSbUdGdM35O19HO4JuuBGDtJVcTzC+UNyDVLkXSM1l/weUAlN92LUKk704Ce8pu0uMPxfhuY6ti20D2txZ/hB83t5KmgImg6R+9g2fhAiIuD+suvkrucFQJTs1IVaoeCuXks3ZmZ3uyQbdc1SsTiORgN+nJcprY3BLgzR+38dW6Jpp94X1e8GNxkS0tAd5bVstHy+uIxSSynWaMOm0vR963yu66AWNjPW3VY9hySs9bE6n635ZTz8FXXIZ103oKnn1M7nAASLMbWdvgY22DT+5QZBeLd7adtBh06GS+8KUJ+Cm/80YA1l1yFTGXW9Z4VIlPTZxVqr2wdfoZtIyZiKGlmYpbZ8sdzj7TCAKpNiMZdhObmwO8t7SWdxbXsrymnWZfmFhc/NU/H4zEqWkL8s2GZl79fiufrWogGu1MmG2mxCun8vz3M3Jef5G4wcjym+8FbWIl/QONpNez+uo5ABQ9dh/G+lqZIwJBEEi3G/l6fXOflkIlgp9q2mn1R3GaZS7RAAqfmIupbhsdQ4ax7cRT5Q5HlQQSb4VTqfbg5SfnUlFVTfW4ydt/tmjhAlYtW8T0sy/cvyfXaFhx832MP/4gMt97g/qjjpV9GMP+0GgEUmydt1KDkTg/bmnrmqIk4DDrcZh0GPVaNAJE4xLBSIy2QJRQVAQk9FoNLrNe9klg+0Pr9zH4hs5b/+vPv5xAcZnMEal6omXCFBoOO4b0f79L6f1z+Om2uXKHhF6rwWHS859VDRw1NEvWFpByafCGWLy1nQwF9Go3b95I4VMPA7Dq6jnqCbGqV/TKaicIwpGCIKwSBGGtIAg7FRAJgmAUBOHlrt9fKAhCYW+8rkoZREkiFheJdn3FRFHWOr+KqmpumTmDRQsXAJ1J8y0zZ1BRVd0rzx/MK2DtX68BYNCNV6JrS47Ru2aDlgy7iQyHmTS7EQ2ddYpbWwJsbg5Q1x7CH45jNerIdJrIdJpJsRkTOmkGKL1vDuaarXRUDmPzWX+ROxzVXlhz+XWIegNZb7+KY8kPcocDgNWoQ5QkPl/dSHQPd26STSga54vVTThNerQK6Gtdfsd1aKIRaqadRPuIMXKHo0oS+73iCYKgBR4GjgKGAH8QBGHHBstnA62SJJUC9wF37O/rqvpfNC7SFohQ3xGkriO0/avJF8YXjhGMxglG43hDMRq8Yeo6QtR7Q9R3hGj0hglEYv2SUFePm8zse+Zxy8wZPPPQHdwycwaz75n3iyvQ+2vLKX+ideQ4jE0NVNxxba89r1JoBAGjXovdpMdlMeCyGHCa9ViNuoTpkNETru++Iu/FpxF1OpbffH/SdO0RRYlwNE4w0vkVjsURxeTbtBbMK2DTmecBUHHbbBCVkah6rEaa/WG+29iSlP/uuyJJEt9uaCESjyviSnvKFx+T9tlHxKw21l6WfJ/RKvn0xrt7LLBWkqT1AIIgvAQcCyz/2WOOBW7o+v5VYK4gCIKkbj9WNFGS8IVi+CMxBEHApNOQ5TKTYTdiN+sxG7SYdFr0WmGnzgmSJBGOidvH0jb7wmxrC1LfVftn0mlwmPVo+qjjQvW4yUydfgYvPHofp553aa8mzQBoNCy/5T7GH38IWW+/St2Rx9J84OG9+xqqPqUJBhhy7WUAbJxxSUIPVIrERNqDUWKSiABoBQ1WkxaDrvMkJxwTaQ9GOpM4QUKn6Swp6P79RLbx3IvJfuMlnEt+IPPd16n77e/kDgmADLuJNfU+rEYdw3JdcofT51bXe1nf5CPbKe8odAAhGqX8zhsAWH/+TCJp6fIGpEoqvZE45wBbfvbfW4Fxu3uMJEkxQRDagRSgqRdeX9XLfOEYvlAMBMhxmRmR7yLVbsRm1PW4tZggCJj0Wkx6LS5L5/MMy3URisZp9kdY3+hjc3MAAJdZj1Hfu7VnixYuYP7Lz3LqeZcy/+VnqR47qdeT52BBMesunkX5XTcy+IYr+Pqt/xBzOHv1NVR9p2TunVg2b8BXNogN514idzh7TZIk2oJRwjERk17DoCw7WU4zDrMOs167y5PZYDROezBKbVuI9U0+mv1xTHotzj48ie1rcauNtX+9msrZf6X0vjk0HHoUosUqd1gIgkCGw8SPm1uxGnSUpNvkDqnPNHrDfLOhhXS7SRHtJ3NeeQ7r+jUE8ovYcsrZcoejSjK9kTjv6ijZ8UpyTx6DIAgzgBkAWTl5+x+ZqsfiokRrIEI0LpJqM1JdlkKm04yplxNak15LjstMjstMqDDOpuYAS7e10RKI4rboe+X1umuau8szqsdO6pNyDYDNp80g/aP5uBZ/T9ldN7Di5vt69flVfcOx5Afyn5uHpNGw/Ob7kAyJM/FNkiRaA1HCsTj5KVYGZ9pJtRn3OM5YEAQsBh0Wg44sp5nqPBdN/jCr6rxsbPJj0GlwWwwJmUDXHnsyuS8+jfOnxRQ+OZf1F82SOySgs3d6ut3EgrVNmPQactwWuUPqdYFIjP+sasBu0iuijEvX3kbxw3cDnTXwiXRsqxJDb7zLtwI/z3JzgZrdPUYQBB3gBFp2fCJJkuZJkjRakqTRnpSUXghNtScxUaTB21mnXJJmY+qwbI4amkVhqq3Xk+YdmfRaKjLtHFedw8SSFEKxOHUdoT22QtuTVcsW/SJJ7q55XrVsUW+E/UtaLctvvo+4wUjO6y/iWfBp77+Gqle8/ORcFi1cgBAJM2T2XxFEkW+P+C2Pf/NfuUPrsUAkRm1HiDSHkanDsjmwPI10h2mPSfOuaLqSugPK0phWnUO+x0JdR4j2YO8Nxek3Gg2rr7oZgIKnH8FUs2UPf6D/6LUaUqwGPl3ZSIM3JHc4vSoWF1mwpom4JGFTQF0zdLYnNLS30jJmYkJ3PFIpV28kzt8CZYIgFAmCYAB+D7y9w2PeBs7o+v53wCdqfbO8RFGiwRuixR+hMtvB8SNzGFPkwW3t/7NznVZDSbqNacNzGJHvoskfocUf2efnm372hTtdWa4eN3n/W9HtRqCknPXnd7YzG3L95Wh93j55HdX+6e62Yrn2MmzrVtOSkc20rz7vtW4rfUmUJOq9IaJxicOHZHBwRXqvHqtOs54JJakcPTQLs0FLTVsw4TpCtI8cS93Rx6MNhyi99xa5w/kFk16Lw6zj38vrafYlR49nSZL4flMr9d4wKVb5pwMCmDetJ++Fp5AEgTWzboQEvHuiUr79TpwlSYoBFwIfAiuAVyRJ+kkQhJsEQZjW9bAngRRBENYClwHqzEuZSJJEiz9CvTfUebV3RA7D89xYDPJfLTDoNFRmO5lWnY3HqqemPXEW781n/YX2yuGY6rZRds/Ncoej2oXqcZN58OKrGDP/NUTgDwEvl9/7eO9vHO1l4Vic2vYQJWlWpg7PIqsPN1+l2owcUZnJ2CIPzb4IHQl29XnNZbOJm8xkvv8Wru+/ljucX+guk/loef1+XRhQip9qOlhZ10GGAkZqdyu752Y0sSi1x03HO3io3OGoklSvFCRJkvSeJEnlkiSVSJI0p+tn10mS9HbX9yFJkk6SJKlUkqSx3R04VP0rGIlT0x4kzWZk2vAcRhV4FJEw78hh0nPIoAzGFnpo8oXxhpS/eEs6Hcvn3I+o05P7ynO4v14gd0iqHQjRKMe//Bw64CEg7dRzFJ80e0NR2oJRDixPY3xxar+MMddqBAZlOZg6PAudTqDeG5K1L/veCGflsOlP5wNQfvt1imlP181m7Ny4+eFPdQl95Xltg4/vN7WQ4TAppibe/c1/Sf/4fWJmC2svVq/NqfqO/JX8qj4nShINHSHCsTiHDMrgoEFpOC3yj0L9NZquxfvooVlIAjT5lF8b6C8bzIbzLgVgyHWXovX7ZY5I9XMFTz2MfeUyNmo0LDn7Qua//Oz2ITlK1OwPIwFHV2VRmNr/XSJcFgNHVmZRmGKlpj1ITGFJ6O5s/NMFhDKzcSxfQvabL8kdzk62J8/L62joUP7n2o62tAT479om0u0mdBqFpBDxOGVd7ec2nX0hkfRMeeNRJTWFvOtVfSUYiVPXEaQ0w87U4dnkeSyKaBfUUyk2I0dXZZFuN1HbHkRU+JWvjedchHdQFeZtWyi9f47c4ai6WNesoKhrp/03l83mD5fN3j4kR4nJc4M3hMOk58iqTFn2HXQz6DRMLElhTKGHem+YcCwuWyw9JZotrLl0NgAl99+myD0HNqMOu0HPR8vr2NISkDucHtvaGuDTlQ2kWg2K6KDRLevtV3CsWEooM3v7QByVqq8o552v6nXN/jDBaJxDB2UwtsjT510y+opJr2VKeRqDMh3UtgeJK3gSl6TX89Mt9yPqdOT94ylc334pd0gDnhCNUnnNJWjjMRYddDieszpv5fdpt5X9UN8RItNh4pDB6YoopRIEgSHZTg6pSKM1ECEQickd0h7VH3M8bdVjMDY3UjTvAbnD2SWzQYvbYuCTlQ2sqG1XfDnMlpbOpNljNfR63/39ofX7Kb3/NgDWXnoNojn5Wv6plEVNnJNQTBTZ1tZZyzx1eFZS9A7VaTWMLnQzIt9Nbfv+t6zrS77BVWw85yIAhlx7GZpg4lxRSkYFT/8fjp+WEMzKofXOR37xe33ZbWVf1LYHyXGbOaA8rV/qmfdGnsfKb4Zkdg5ICis8eRYEVl91EwD5z83DvHmjvPHshlGnJcNu5JsNrXyzoUWxm6HXN/o6k2aLQXEXYAqemouxqYH2qmrqjj5e7nBUA4CaOCeZUDROfUeYUQVuDqpQxhWr3iIIAsNyXYwv9nS15lLmIgOw4c+X4isbhGXLRkofuF3ucAYs65oV24chrLj5PuJW5U5vq+8IkeuxMKk0VVG3wX8u3WHiiMpMwrG44jftdgwdQc2xJ6OJRii75ya5w9ktnVZDltPE6nov/15er6h/V1GUWLatnS/WNJJmNyrqSjOAsXYbBc88CsDqWTeBUmquVUlNfZclkfZgFG84ymGD06nKce7TUIREMCjLwcSSVBq8yr3yLBkMnSUbWi15zz+O84dvZIule/DHzy1auICXn5wrU0T9Q4jFqLzmEjSxKFtPPp2WCVPkDmm3Gr1hMhxGJis4ae6WYjPymyGZROKSopK8XVn716uJmS2k//s9RXe60QgCWU4z3lCM+Utq2dws/8biSEzkq/XN/LCplQyHSZHvy9L7b0UbClJ35DTaR46VOxzVAKG8I0G1T5r8YbQagaOrspOiNGNPyjLsjC9Ood4bVuxuf29VNZv+dAGCJDHk2kvRhIKyxNE9+KM7ee4eSZ4Igz/2R8FTD28v0Vgz81q5w9mtZn8Yl0XPAeVpikxOdsVtNXBEZQbhuKjoso1IeiYb//xXAMrvuBYhptxYATxWAw6jjk9XNfLl2iaCEXk2Y7b6I3z4Ux2bmv1kORXUPeNnHEt+IGv+a4h6A2svvUbucFQDiPKOBtVekSSJ+o4QHouBIyozFd9mrjdVZDoYXeimviOMqNANgxv+chm+4jKsG9dRPPcuWWLo3gR3y8wZPPPQHdwyc8YvRpIno51KNGx2mSPatfZgFINOy4EVyqtp3hOXxcDhgzMIRGKK3jC4+fQZBHLzsa9eQfarz8sdzh4Z9VqynSY2tfh5e3EN6xt9/fb5Fhcllte08+7SGqIxkXS7SZldmCSJ8q72c5tPn0Eot0DeeFQDipo4JzBRkqjrCJHnMXPwoHTMhsRaeHvDkCwHVTkOajuUOaRBNJpYPucBJI2GgmcfxbHkB1niqB43manTz+CFR+9j6vQzkjpp7u6ioYlF2XrSaYot0QhG4kTiIocMSty9CCk2I4cNyaAjGCMcVWarOtFoYs0VNwBQ8tCd6Npa5Q2oBwRBIM1mwmbQsmBNE+8traWuvW8/4+o7Qry/tJbvN7WSajXiMCv3Ikz6h2/j+vEbwimpbJhxidzhqAYYNXFOUKIoUdceojzDzqTSxLnF29sEQWBEnpvSdBsNXmVO4uoYNpJNZ/wZQRSp/NtFaAL9X7+4aOEC5r/8LKeed6niB3/sr6J59/+vROPy6+QOZ5eicZHWYIRDBqXjVHCC0hPpdhMHDUqjyR9R7IbdxkOPomXcZAxtLRQ/co/c4fSYUa8l22UmGhf5aHkdHyyrY2troNdackqSRIM3xMcr6vnwp1qicZEspxmdgtcTTThE2b23ALD+wlmKvZukSl7KPTpUuyWKEjUdQYZkOxhT6EGbpJsAe0qjERhb5CHVbqTFr8zkef2FV+IrrcC6cd32W4z9pbumefY98zjzolmKHvyxvxyLv6fwsfuRBIHlcx5Q5KIqShIN3jATilPIcJjkDqdX5LotTCpNUW7ZlCCw6qqbkTQacl98GuvaVXJHtFfsJj3ZTjPhqMgnKxt4/YetLN7SRrNv3/69A5EY6xp8vLuklg+W1dHqj5DlMGM3Kf8kLu/vj2PetgVf2SBqTviD3OGoBiA1cU4w3Unz8FwXowrcSds5Y2/ptRqmlKWh02oUudNfNJlZducjiHoDuf/8O2mffNBvr71q2aJf1DQrdfDH/tL6/VTNugBNPM6mM/9Cq0LLUeq9YYZkOShNV25rvH1Rmm6nOt9JnULLpvzlg9l60mlo4nHK77gOFBjjnthMOrKdZmxGHT/VtPPe0jr++f0WvljTyNoGL/UdIdoDUYKROKFo55cvHKPFH2FLS4DFW1p5d0kNr/+wla/WNyNKEtlOMy6LQZm1zDvQ/2ygzeorb0TSJWaJkyqxCUr8gAOoGj5Cunrem6Tbk+OKTG8QJYna9iDDcl1U57kS4oOuv7X4I7y/rBaXWa/IzVb5zz5G+Z3XE3F5+PrNT4mkZcgdUtIYfN1Mcl57AW9FJd+89B6SwSh3SDtpDUSwm3QcNjhD0bfD95UoSvx3XRObWgJkKvCzW9/azMSjJ6LvaGfRQ8/SdMgRcoe032JxEX8kTigaQ0IAJOB/a0P3T5BAqxGwGXWY9JqEXD8G3Xglua88R9OUQ1n0yAtyh6NKMkeMHbQp7mst3NPjku+TO0mJUmdNc1WOU02af4XHamBSSSpN+3gLs69tPu1cmidMwdDWwpBr/goKbaWXaNI++YCc114gbjCy7I65ikyag5E4oiQxuevOSDLSaATGF6eQYjHQGojIHc5Onn/9RT4/5gQAyu+8HiESTvie5jqtBqdZT4bDTKbDROb2Xzu/Mrq/d5pIsxsxG7QJuX5Y16wg59XnEbVaVl9+vdzhqAaw5Pz0TjLdLecqMu2MyHMn5IdefypMtVKV46TeG5I7lJ1pNPx064NEnG5S//spef94Su6IEp6hsYHB110GwNrLZuMvGyxzRDuLixItgQgHlqdjMyb37WW9VsOU8jQA/Arr8VxRVc3099+kOSsXy5aN6G69ZkD0NE94kkT5nTciiCLbTj6dQEm53BGpBjA1cU4A9d4QhalWRhd61JrmHhqe6yLdYVLkVa9IeiYrbuzsMVx6z81Y16yQOaIEJkkMue5SDK0tNE+YwpZTz5Y7ol1q8IaoznOR6VRe+UJfsBp1HFSRTkcoqqhOG9XjJnPVvY9zrrcNgJH/fJ5br7sjqdszJoOUBZ+Q8uVnRO0O1l9wudzhqAY4NXFWuEZfiEyHifHFKQO+e8be0Gk1TCpNJS5JhBTYX7bx8GPYduIpaCNhqq48X7apgoku98WnSf38Y6IOF8vnPAAKnHDWGoiQ4TBRleOUO5R+lWY3MqEklQZvCFFBe2lWLVuE9+AjeRuwA8d9/nHCl2skMyEapayrE9GG8y4l6k6RNyDVgKe8VUa1XVsggt2oZ3LZwO3TvD9sRh2TS1Np9iuz3nn1rJvxFxRjX72C8tuUOxJaqezLl2xv7bfihrsIZ2TJG9AuhKNxYqLExNLUAXniW5JmZXCWk/oO5ZRNabU6Pp7/Gq8ffAQRIPuNl3j3kj+p5RoKlfPq89jWryGQV8iWU/4kdzgqlZo4K5Uv1FkbeNCgdEx65XWHSBS5bguV2U4afMpZuLvFrVaW3jOPuMFI7qvPkzn/NblDShhabwdDL5uBJhphy/QzaDjit3KHtBNRkmjyR5hUkpL0dc27IwgCI/JdpNqMiiibWrRwAS898SAzLr+eNxd9yxtdtbJP2B1Uj50kc3SqHek62imeexcAa2Zeq8hNv/siFhcJx+JEYmKvDbNR9R81cVagcDSOLxLj4EHJv5GoPwzPc+EyG2gPKq+/s29wFav/1jkFa9ANV2BZv0bmiBKAJDHk+plYtmzEO6iKNbNulDuiXWryhinPsJGfYpU7FFnptRoml6USE+Uvm+ruaf67M89j6vQzOHfdaloNRkpqtpLx7huyxqbaWeG8+zG0tdA6ejyNhx0tdzj7RJQkOoJR6jqC27984RgxUSIcF2kLRqjrCFLfEaLeGyIQUdaGWtXO1KxMYWKiSKM/wqGD0kixJcfZK2IqZAAAIABJREFUtdz0XfXO7y6twWrQKq4V2LaT/ojru6/Ievd1hl12Lt+8+B6i2SJ3WIqV8/KzZHz4DjGrjSX3zkM0Km/DnT8cw2TQMrLALXcoimA36TmgLJWPVzSQ5TDJtsl5+tkXAv8bQT/tvEu59rl5zI2EKbv3ZhoPOQLRMrBPdJTCvHkj+X9/AugcdkKCdZOKxkVa/BEkIMdlYkSKC7fVgM2o22kNCsfieEMxmrxh1jX6qG0PotMIuK0GdArctzHQqf9HFESSJBo6wowucJPnUT+8e5PbamB0gYcGnwJHcgsCK6+/C39RKbY1Kxl0y98ScqpZf7AvX0LF7dcBsOLGuwkWFMsc0c5EUaItGGVyaaoih/DIJddtYViu/G0idxxBX/jg0/yo1WKqr6XwCXWDoFKU3nszmliUmmkn4a0cLnc4PRYXJeq9IdqDUarzXZwwMoeDB2VQlGbDZTHs8sKNUacl1WZkUJaDY4ZlM214DuWZdpp9ERp9IUXu0RnI1MRZQRp9YYrSrAzJcsgdSlIqz7CT5TDR4pe/1nJHcauVJfc+TtxkJvvNl8l96Rm5Q1IcfUsTwy4+C000wtaTT6f+qOPkDmmX6r0hhuY4SXco70q43IbmOEmzG2U9BncaQT9hCiuu7Cz3KXj6/zBv2iBbbKpOru++IuNf7xI3mVn316vlDqfH2oNRGrwhKrMdHDcih8psJxbD3t/Yd1r0jCrwcPzIHMrS7dR7w4osNRyo1MRZIdqDURwmPWOL1F7NfUWjERhXkkJMFBXVW7abv3wwy2+8B4Dy26/F9e2XMkfUd15+ci6LFi74xc9+rSWYEI0y9LIZmGu30T50BKuvuqk/wtxr3lAUh1nP0NyB1Xqup/7XJlIkLFO98/SzL9ypb3P6H8+hZtpJaCNhKm67Rr3jIydRpPzOzsmAm/50viK75exIFCVq24NYDFp+Ozyb6jx3r2zqtxh0jC70cMywLCwGLbXtQWLqtFnZqYmzAoSiccKxOAeUp6m3dvuYw6RnTKGHRq8CSzaA+qknsPGs89HEYgy79BxMNVvkDqlPVFRVc8vMGduT5+7b57trCVZ29414vv2ScGo6Sx54SpF1zXFRwhuOMak0VW0f+SvsJj2TSlJp8kcU1d957czriNodpH7xCWmffCB3OANW9hsv4fhpCaGMLDaedb7c4exROBqntiNIVY6Tw4dk4LIYev01PFYDv6nMZGSBm/qOsLqBUGbqp7vMRFGi2R9mSnkaTrNe7nAGhJI0G9kuZZZsAKy99BqaJh2MobWF4RedhSYYkDukXlc9bjKz75nHLTNn8MxDd2yvOd3VBLesN14k//knEHV6ltz/pGKvQDX4wgzPdZKqburdo/wUK4OzHIracxBJTWPdRbMAKL9tdlIed0qn62in9P45AKyZeZ3iN2r6wjFag1EOGZTOiHx3n24812oEKrOdHDU0k0hMpMWvnGNnoFETZ5nVeUMMz3OR61a7KPQXjUZgbHEKUYWWbKDVsuyuRwjkF2FfuYwhs/8KSXh7rnrcZKZOP4MXHr2PqdPP2GXS7FjyA4Nv7ExmVl57O+0jxvR3mD3iDUVxmHQMyVZLNHqqOs+F3ajDG1JO7ea26WfgHVSFuXYbRfMelDucAaf44bsxtDTTOmo89Ucrcw9Dt/ZglHBM5KiqzH7dzJ9uN3HU0CzsJj31HSEkBd21GSjUxFlGLf4wWQ4TQ3Nccocy4DhMekblu2nyKfOqc8zpYvFDzxCz2sj84G1K75sjd0i9rrsl2KnnXcr8l5/dqebZvGkD1Rectn3ISc3vTpUp0l8nihIdoRgTS9QSjb1h0GmYXJra1dNWGSeGkk7HymtvBzo3Clo2rpM5ooHDunYluS8+haTRsOpvtyi6/VxbIIIgwJFVmbK0jbUadRw2JIP8FAu1HcoaaT8QqJ/yMglG4kgIA3YUrxKUZdhJtSlzMAqAv7SCJfc+jqjTUfjUw+S+8KTcIfWaHVuCdZdtdCfP+pYmRpx3CoaWZponHrR9SIwSNfrCVOU4SLOrJRp7K8VmZFSBm0avck5g26tHs+2EP6CJRqiYo24U7BeSRMWts9HE42w96TR8g6vkjmi32gIRNFqBw4dkyFpeqddqmFSSyuAsB7XtQbVlXT9SE2cZiKJEcyDC5NIUrOpkQNloNQLji1MIRGKKHXvaMvlgVnR12qi4bTZp/3pX5oh6x04twbpqnlctW4QmGKD6gtOxbN5Ax+ChLLn/CSS9Muv//eEYZoNWvWu0HwZlOsh0yNuibkdrL72GqMNJypefkZ4kx5ySpf/rXTwLFxBxull/8Sy5w9mtjmAUQRA4fHAGdpP8n0kajcDoAjfD81zUdoQUu44lGzVxlkG9N8ywHCc5al2z7NxWA8NynTT65B3K8Gtqj5vO2ouvQpAkqmZdgPOHb+QOab/tqiVY9bjJ/P6M8xh6xV9wLvmBYHYuix55nrjVJlOUv06UJNqCESaWpGLQqR+l+0qjERjf1SYyElNGyUbUk8raS/4GQPkd16H1+2WOKHlpggHKutrPrbt4FlGXR+aIds0fjhEVRQ5TSNLcTRAEhue6qM5zUdehDkvpD+qnfT9rC0RIsXUmayplGJLtxGLU4Q8rt8XPxhmXsPXk09GGQ1RfcDq2FcvkDqn3iSKDbrqStE8/JOpw8eNjLxJJy5A7qt1q9ocpz7CT6VRea7xEYzfpGVeUQqMvrJjNTttOOo32yuGY6mooefB2ucNJWoVPPYy5dhveikq2nXSa3OHsUjjaORL70MEZOC3KSZq7CYLAsFwnw/Oc1HQE1ZrnPqYmzv0oEhMJx0Qmlab2adsa1d7RazVMLE6lLRhRzKK9E0Fg1TW30nDoUeg72hh57slY16yQO6reI0lUzLmanNf+QdxkZtHcZwkUl8kd1W6Fo3E0goYR+W65Q0kaxWlWClIsNAcUUrKh1bLyxrsRtVryXngCx5If5I4o6Zi2babgyYcBWHXNHNAqb45BTBRp8kc4sCJN0a0mu688V2U7qVO7bfQpNXvrJ5Ik0egLM6EkRe3XrECZThNl6XaaFdwbU9LpWHr3ozRNORRDawsjzz4Zy/o1coe1/ySJsjtvIO+lZ4gbjCye+yzto8bJHdWvavJHGFfk6ZXpYKpOgiAwtsiDQOdQKCXwDh7K5tP/jCBJDL5+JkJUmRuJlW6Xk0K//gLHn09BGw5Rd/TxtI0aL1N0uydJEvUdIcYUusnzKL+0UhAERua7KUu3Udeh3LUs0amJcz9p8ocpTrVSlKrshu4DWXW+CwlBMXWWuyIZjCy5/0maJx6IsbmRUWcej23VcrnD2neiSPltsyl47rHOAScPPEnLhClyR/WrWvxh8t0WClKUv5AmGotBx4TiFFr8yrn7s/6CywnkFWBfvYKCZx6RO5yEtKtJoYsuPothG9YSs9lZfeUN8ga4G/W+MGXpdgZnOeQOpcc0GoExhR5y3WYaOpS7dyeRqYlzPwhEYug1GsYUeRAU3JtyoLMYdIwpdNOk4KvOAKLRxOIHn+5KnpsYdebxOBZ/L3dYe02IxRgy+6/kv/Akot7AkvueoHnKYXKH9auicZFIXGJ0kVs9lvtInsdCcbpNMcehaLaw8ro7ASj6v3swb1ovc0SJZ8dJofdfdi6PGDpHU6+95G+K3MvQFojgMusZXZh467ZOq2FiaQpOi0GdMNgH1MS5j4mSRGsgyqSyVPW2bgIoTrWRajMqtrdzN9FsYdHDz9Fw2NHoO9oZefZJpHzxsdxh9ZgmGGDoZeeS/dYrxMwWfnz0BZoOOULusPaoyRdmVIFLUbvqk40gCIzKd6MVNIop2WiZeCA1005CGwkz+IYr1N7O++Dnk0Ifzy/C3tpCe1U1W6efIXdoOwlH40RFkSnlaQnbMceo03JQRRpajUZR0zmTQWK+IxJIozdMZbaDLKdZ7lBUPaDRCIwr8uAPxxTf1kcyGFl6zzxqjj0ZXTBA9fmnJcSQFENjPaPOOJ70j98n6nDy4xOv0Dr+ALnD2iNvKIrbYqA8I3Fu2yYqs0HLhJIUmhVUsrHmyhuIuD14vvkv2W+8KHc4Cad7UujVvzuV3yz5AVHQsPL6OxW3IVCUJJr8YSaXpuJI8BNkq1HHwYPSCUbjijkJTQZq4tyHfKEYNpOOYbnqcIREkmIzMiTboZhbxb9G0ulYPucB1v/lMgRRZNCt11Bxy98Uu4nJvmIpY39/NM6fFhPIzefb59+hvXq03GHtkShKeMMxxpekqJM++0mex0Kpgko2ou4UVl91MwBld92IobFB5ogSR/ek0GvveoQrVy1HCzxm0POFt0Pu0HZS3xGiMttJnic59iN5rAamlKfR7I8oZrR9olMT5z4SFyU6QlF1OEKCqspxotNoCCfCWbogsP7CK1l2+1xEvYG8F59m1BnHYazZKndk/yNJ5LzyHKNPmYqpbhttI8by7YvvESgplzuyHmnyhRmc5VB0O6pkNFJhJRt1x5xA06SD0Xe0M+jmWWrJRg91Twqdun4NzqU/EsrIInLvE6xatkju0H6hPRjFbTUwPC+5Lnblui2MLnRTr7ap6xVqRtdHGrxhhuc5SbOrC20iMum1CbFR8Ofqfvs7vn/mdUKZObgWf8/4Ew8j7eP35Q4LXUc7lbMuYPCNV6KNhNn6uz/yw5OvEPWkyh1aj4SicfQ6DUNz1KFF/a2zZMNDs18hg1EEgRU33EXMaiP94/fJfOdVuSNKCNPPvpDxOXmU3HcrAKuuuZXKgw5n+tkXyhzZ/0TjIsFInMmlqeiTcM7CkCwHpel2GnyJs6YpVfK9OxSgIxjFbdFTma0utImsIMVKpsOk+I2CP9dePZqFr/2LpimHou9oY/jFZ1F1xV/QtzTJEk/qpx8x/tgDyXr3dWJmC0vv+L/OoRLGxJm216z2bJZVrttCcapNMYNRwtm5rPpbZ8lGxa3XYKyrkTmiBCBJDLluJrpggLqjjqXx0KPkjmgnjd4w44o9uCwGuUPpE4LQ2abOadbTppBjKVGpiXMvi4ki/kiMiep0wISn0QiMLUohEIkrfqPgz0VdHhY9/HdWXXUzcbOZzPfeYMK0KWT/83mEWP+MFTdt20zVzBlUX3g6poY62oaP4pt/fkT91BP65fV7S2sgQr7bkhDDD5KVIAiMKuyc0BiOKaNko/a439N44OHovR0MufYytWRjD7JffQHPwgVE3B5WXT1H7nB20uwPk+s2U5JmkzuUPmXQaZhSnkZUlBRT/pSI1MyulzV6w4zId+OxJudZ60DjthoYkm2nKdFub2k0bDntXL5+4zNaxk7C0NrCkBsuZ9wJh5D6yYd9ttDrW5spu+sGJh4zmcwP3iZuNrPqqpv57u9vEygq7ZPX7CuxuEgkLjJK7dksO4tBx7hCD00+hVwpEwRW3HgPEaeblC8/I+eV5+SOSLGMtdsov+sGAFZdfaviSrTCsTiiBGOLU9AMgI2/DpOeKWWpNPsjxBPogpCSqIlzL+reWDAo0y53KKpeVJntRKdNkI2COwjmFfDDU6+y9O5HCeTmY1u3muqLzmD8sQeS/eoLaELBXnkdy7rVDLrhCiYfOoqCZx5FE41QO+13fPX252w57VzFtZzqiUZfmBF5roRvSZUsClOt5LstihnoEElLZ+V1twOdXTbMmzfKG5ASSRKDb7wCnd9HwyFHUn/UsXJH9AuSJNHkizC+yIPNqJM7nH6T47YwIt9FvTpZcJ+oiXMviYkigUiMSSVqiUayScSNgr8gCNQfdRxfvfMFq2bdRCgjC9u61Qy5fiZTDqiictYFpH3yAdq9aQ0lSVg2rKXgybmMPfk3TJw2hdx//h1tOETjgYex8NV/8dNtcwll5/Xd36sP+UIxHGY95RnqSbBSCILA6CI3MVEiGldGW62GI4+l7qjj0AUDVF35F8W2gZRL9hsvkvrFJ0QdTlZeezso7M5Nsz9CYaqFwtTkaD23N6qyneS6zYm7rslIUMRO5V2oGj5Cunrem6TbE2MTUW17kBH5bqrUnfdJSRQl/rW8Dm8olvCbR4RolPQP3yH/+cdxLv1x+88lQcBfWkFH5XBC2bmEMnOI2Tpr/oS4iKGpAVN9DZYNa3Eu/gFDW8v2PxuzWKmbeiKbTzuXQHFZv/+depMoSdR2hDiqMpN0R2J8/gwkq+u8fL2+mWyXMoZK6drbGHfioZhrt7HxTxewdua1coekCOZNGxh34qHoggF+uvVBao89We6QfiEci9MRijFteDbWAXS1+eeCkTjvLq1Br9EM2H+Dnzti7KBNcV9r4Z4ep/5L9YIOtUQj6XVvFHxnSQ0OUUroWjhJr6d+6gnUTz0B85ZNpH/4NmmffojjpyXY1qzEtmZlj54nnJpO69hJ1B/xW5onH4xoUkYis7+a/WEqMmxq0qxQpek21jf5aA9GcZrlL6OJOV0su/MRRp15PIVPPUzLuMm0TD5Y7rBkJUSjVM06f3sXjdppJ8kd0k6afGEOKEsb0Amj2aBlSnkaHyyrw6jTqHfLe2jgvmN6SXcXjYMGZatvuiTnthqozHawqtabNElVMK+ATedcxKZzLkITDmFfvhTbmhWYamsw1m1D210DLQhEUtIIZWQRzM2nY+iIzjIMhd163V/haByNoKE6zy13KKrd0GgExhWlMH9JDVajFp1G/s/d9pFjWX/BFZQ+eDuVV1/Ewtc+IZKWLndYsil65N7OQSeZOay89g7FfU60BiLkuS0UDcASjR2l202MKXTz7YZWspwmdSN0D6iJ835q8kYYnudSu2gMEJXZTtY1+AlH4xiTrK+vaDTRPmIM7SPGyB2KbJr8YaaUpak9mxWue7rb4q3tZCnkJHbjORfhWbgAz8IFVP7tQn6c9xIoIKnvb67vv6bo8QeQBIFltz9EzKmsKXzRrm45o4s8apLYpSLDQX1HmLr2IKk2ZRxPSjbwjupe5A1FcVn0DMlyyB2Kqp8k/EZB1W61BiJku8wUpKhXoRLB4CwHdqMOX7h/epPvkVbLstvnEvGkkPLV5xQ9dr/cEfU7XUc7lVddiCCKbDznItrGTJQ7pJ00+cKMzFe75fycRiMwvjgFvVaLXynHk4KpifM+iosS3nCMCSUpaonGANM9UVCdvpQ8YqJIOBZnbOHA6OWaDPRaDRNKUmgPRREVssk9kp7JT7c+hCQIFD98F6mffSR3SP1Hkhgy+6+Ya7bSXjmc9edfLndEO+nej1SeoV7s2pFJr+WA8lTaglFiojK61iiVmvHto0ZfmGG5TlJsRrlDUfWz7o2CwaiYUBMFVbvX6I1QnefGaVGvQiWSDIeJigybogYUNR9wCOsuvgpBkqiadQGWDWvlDqlfFDz9f6R//D5Ru4Nldz2KZFBW+aIoSvjCMcYXp6BVT453Kd1uYnShm/oO5RxPSqQmzvvAF4phN+mozFZbzw1U3RMFG9WSjYTnC8dwmHVUqF1xElJ1nhutRlkDijaeezH1hx+Dzudl+MVnofV55Q6pT7m++4qS+28FYPmtDxIsKJI5op01+sNU5jhIVS92/arBmQ7y3Gaa1bVtt/YrcRYEwSMIwr8EQVjT9esut6ILghAXBGFR19fb+/OachNFifZQlIklqejVEo0BrTLbiUGrIaSgBVu1d0Sp83ieUJyiHs8JyqTXMq7IQ5NfQaVTgsDyOQ/iKxuEdf0aqq66EJL09rexroahM/+MJh5n49kX0njIkXKHtJNQNI5Rq1HnLPSARiMwviQFAYFgRF3bdmV/V4qrgI8lSSoDPu76710JSpJU3fU1bT9fU1aNvjBDc5yk2dWz1oHOpNcytshDs5IWbNVeafZF1J7NSaAgxUKu20yLgo7FuNXK4gefIepwkvbph5Q8eLvcIfU6TcDP8IvOxNjUQMvYSay7eHcpgLya/RHGFXsw6tRuOT1hMeiYUp5GSzBCXC1H3Mn+Js7HAs92ff8scNx+Pp+i+cIxLEatetaq2i7fYyHHZaJV3SiYcELROFqNoPZsTgKCIDC60EMkLhJTyDhugGB+IUvvfgxRq6Xo8QfJeeU5uUPqPaJI5TWX4Fi+hEBeIUvvexxJp7wOty3+CPluC7lui9yhJJRMp4nhuU4avCG5Q1Gc/U2cMyRJqgXo+nV3Hd9NgiB8JwjC14IgJGRyLYoS7cEok0pSMejUW7qqToIgMKYwhXAsru5ETiCSJNHsjzC+2KP2bE4STrOeEfkumnzKOoltmXQQK6+/C4BBN1+VNJ02iufeRcZH84nZ7Cx6+DmiLo/cIe0kJopEYiIjC91qz+Z9MDTHRZrdqKg7OUqwxwxQEIR/C4KwbBdfx+7F6+RLkjQaOAW4XxCEkt281oyuBPu7lubmvXj6vtfgD1OZ7VBv6ap24rToGZbrotGrbqZIFC2BCPkpFvI86lWoZFKRYcduVlBv5y41J57C+r9chiCKDL38zzh/+EbukPZL7otPU/zYfUgaDUvvfoxASbncIe1Sky9Cdb5LEaPZE5FWIzCpNJW4JCpq863c9pg4S5J0mCRJVbv4eguoFwQhC6Dr14bdPEdN16/rgc+AEbt53DxJkkZLkjTak5Kyj3+l3ucPx7DotQzLVdYEJJVyDM5yYDXpCESUtWCrdhaNi8RFiTGF6uSwZKPTaphQnEKHgno7d1t/wRVsO+EPaINBRvzlVOzLFgHw8pNzWbRwwS8eu2jhAl5+cq4cYe5R+gdvUTHnagBW3HA3zQccInNEuxaIdJZWqt1y9o/dpGdyaSpN/ojijim57G/NwdvAGV3fnwG8teMDBEFwC4Jg7Po+FZgELN/P1+03oiTRGowyqVQt0VDtnr5rwW4NRJCS5MMl0Rb0nmr0hRlT6MFmVF49pmr/pTtMlKXblNdOSxBYef1d1B05DZ3Py8hzf49t1XIqqqq5ZeaM7cfaooULuGXmDCqqqmUOeGeeBZ9SNetCBEli7SV/o+bEU+QOaZckSaI1EGV8kdotpzfkeawMyXKod1W77O876nbgcEEQ1gCHd/03giCMFgThia7HDAa+EwRhMfApcLskSQmTODf6Oks0MtQSDdUeZDnNlKTbaU6SjYKJtKD3VFsgQqbDREmaTe5QVH2oOq+zpjUcU9btZUmn46fbH6bx4CPQd7Qx8uzfcYDdwex75nHLzBk889Ad3DJzBrPvmUf1uMlyh/sLKV98zPCLzkQTi7L5j+ey8dyL5Q5pt1oDEQpTLWQ51XW7t3SXvLQHo3KHIrv9SpwlSWqWJOlQSZLKun5t6fr5d5IkndP1/ZeSJA2VJGl4169P9kbg/SEQiWHWaxmWq3bRUPXMyHwXkgSRWOJvFKweNzkhFvSeisVFQlGRcUXqWO1kZzZoGVPgoVlhGwUBJL2epfc8RtOUQzG0tjDqrBM5SKdj6vQzeOHR+5g6/QzFHWMpn/+b4RedhTYSZsvvz2T1VTeBQsucYqJIJC4xMl/dENib9FoNk8tSCcXiSbG+7Q/1HsZuiJJES6Bz0Ina+1HVUxaDjrGFHkWNAN4f1eMmK3pB3xuNvjAjC1zqWO0BoijVSrrDqMgrZKLRxOIHnt5etjH8nJOJ/v1xTj3vUua//OxOJVJyypj/OsMvOgtNNMLmU89m1ezbFJs0AzT6IlTnubCb1OO8t7ksBsYXpdDoCydNSeK+UBPn3Wj0hanMcpCp3upR7aWiVCtZzuTo7bxo4QLmv/ysIhf0vdEejJJiM1KR6ZA7FFU/0WgExhWlEIjEFTnEQTIYWHbnIyyZcij6SISXAn6uszuZffdjvyiRki9AicLHH2TorPPRxKJsOuPPrP7bLYpOmgORGFZ1Q2CfKk6zUpZuG9D1zmrivAv+cFeJRp5aoqHaexqNwNiiFMJRZQ1j2FvdNc2z75nHmRfN2l62IfuCvpdiokggEmNCcQpatURjQHFbDVRmO2hU2kbBblotD40az4LjpiNIEuV33cAf3nuD62+fy6qurhty0IRDDL5+JqX334okCKyadRNrrrxR0UmzJEm0BaKMLfSoGwL7kCAIjCp0YzXp8IaUdzenP6jvrh2IokRbqLOLhlqiodpXTouekQUuGhO4ZGPVskW/qGnurnmWc0HfF43eMCML3LitBrlDUcmgMseBSachGFHWRsFu08+5iNCcB1hy7zziJjM5r/2Dc+6dw1kH/UaWeMybNjDmlKnkvPYP4gYjS+99nC2nz5Allr3RGoiSl2Ihx2WWO5SkZ9RpOaAsDX8kRjSBLw7tKzVx3kGjL0yV2kVD1QsqMh24rQZF1lj2xPSzL9ypprl63GSmn32hTBHtvbZAhFSbkUFqicaAZdRpGVfkoUXhrSIbjpjGd39/i0B+EfZVPzHu5CPIeekZ6K+JpJJE1luvMO7k32BfuYxAXiHf/WM+Db+Z2j+vvx+2TwhUNwT2G4/VwPjiFBq8A6/eWU2cf8YXimE16hiaow46Ue0/rUZgYkkqgUhMHcctg2hXF40JJWqJxkCX67aQ77bQGlD2Sax3yDAWvvovaqadhDYUZPDNVzH6tGnYVv7Up69r2rqJETN+T+XVF6PzeWk47BgW/vMjvIOH9unr9pYmX5hheU51QmA/K0mzUZJuS+g7q/tCTZy7xEWJjpA66ETVuzxWA9V57gG9kUIujb4wowvduCxqicZAJwgCo4rcROKi4k9i41Yby297iCX3PEY4NR3Xou8Yd9LhDL5uJqatm3r1tfTNjZTdeT0Tph1Iypf/IeJ089OtD7Lk/ieI2xPjLk0wEsek16p3lWQgCAJjCt1YjQOr3lnNELs0esMMz3ORZjfKHYoqyQzOsuO2GuhI0JKNRNTiD5PtNFGeoe6uV3VymPRU57loVGBv511pOPJYvpy/gM1/PBeAnNdeYOLRExly9cU4Fn8P+3F73LJuNWV3XM+kI8ZR8OxjaMMhaqeeyFfvfE7tsScrehPgjloCEcYVedQLXjIx6rRMKUvDH44PmHps1p7dAAAY3UlEQVRnQam1KVXDR0hXz3uTdHvf1xq3B6MY9RqOrMxEp+7GVfWBVn+E+UtqSLMb0WnU91hfCkfjdISj/HZ4jjpWW/UL0bjIO0tq0AkCFkPivDcsG9dR+Nj9ZL77Opp45yZHf2EJ9UdOo3XcZNqHjUQ0/cqmuHgc+8pleL7+grRPPsS16Nvtv9V44OGsv+jKhCnL+LnWQAS3Rc+hgzPU2maZrWvwsWBtE1lOE5oE/X9xxNhBm+K+1sI9PW7AJ87RuEizL8LU4VnqLV1Vn1pe0853m1rJdqq7vvuKKEnUtgc5sDydwlSr3OGoFKi2Pci/fqony2lKuGTLvHkjuS8/Q+Y7r2Fsbtz+c1FvIJBfSCg7l3B6JpKgQZBE9O3tmLdsxLxlI7qAf/vjYxYrdcecwLaT/oi3crgcf5X9FhclGrwhfjs8W127FUCSJBZuaGZdgz9hmyv0NHFOnFPuPtLoDTOu2KMeeKo+V5HpYEtrsOsqifp+6wtNvjDlGXYKUixyh6JSqCynmaJUKzXtQVKsiVWaF8wvZM0VN7D20tl4vvoPKQs+xf3tV9hWL8e2bjW2dat3/2dz8mgZfwAt46fQdODhxK2JfWLZ5A9Tme1U126FEASBUQUemn1R2gKRpP7/MqAT52Z/mFy3mbJ0tQ5S1fe0GoEJJSnMX1xDJCaqNXm9zBeKYTJoGaG2pFLtwYgCN1sWBYjGxYQcliHpdDQfcCjNBxwKgNbnxbx1M6aarRibGjofIwjErTaCeQUE8wqIujxyhtyrQtE4Bq2Gyhx1Q6CS6LUaDihP5d0ltYSinZs2k9GATZxD0TgSMK44BY3aqkrVTxwmPeOLU/hiTRPZCXirWKlicZGOUJSjh2Ul7Ye1qvfYjDpG5Lv4bmMrWUlQOhW32fENqsQ3qFLuUPpFiz/CgRVp6pAyBXKY9EwpS+XfKxrIcCTnnp7k+xv1gChJNPvDTCpJxapuHlL1s6JUK6XpNpoSZHe/0kmSRIM3zJgiN6m2xLr1rpJPWbodp9mALxyTOxTVXmgLRMh0mshzq+VYSpXjtjCywJW0w1EGZOLc6A0zOMtJnkc98FT9r7MWzI3RoMEXUhft/dXkD5OfYqEiQ71tq+o5nVbD+GIP7cEoYhIu7slIFCWCUZExhR71TrHCVWY5KfBYkvIC0YBLnDuCURzmzn6eKpVcTPrO3pfecHTA9L7sC75QDKNOy3i15Eq1D9IdJsrSbbQEkm9xT0ZNvjBDsjv74quUTaMRGFecgsWopT3JZhgMqMQ5GhcJROJMVqcDqhQg1Wb8//buNjau677z+Pc/d55nOEPOcPgo0XwQJUqybFmWKMnPdpPAcdxHYJEWu0ULBDAW2BTtboDdLjZvFsibfZHdBdoCC2Oz2BYNmhRoi6Zp0TRF0wYOWidOq3SdeJ043TSWRZEUJZEz5Dzfsy9IBU4i20ORnDt3+PsAgkSK4PyBy+H93XP+5xwWZwqslGt9OZ110Jptn3K9yRPHS+prlnt2dmoQ55weYHtcvdkm6kU4PZEPuhTpUDLm8dTxEeqtNrVmO+hy9s2hSY93+iAvzRX0tCo94/joALOlLKsVHcm9G/7O+/ny3LD6mmVP0vEoD08V+nJKuZ/c2KyzOFPQQ3LI5NMxnjpR4uZWg1afPJwemuC8WqkzN5JlrpQNuhSRHzAzFmcKZBLRvpvOOkjL5Tonx3PMlcK9F630hrmRLEOZGOWa3oO96PZWg/F8iimtSwqlicE0F6aHWC7X+2I9waEIzuVak0wiyoVp7e8qvScRDWY667Of+k2uvPzSD33uyssv8dlP/WbXargXa5t1RgcSnJsa1PtZ9oUXMS7OFCnXW31xY+8nbd9RbbZZnNGCwDBbGMuxMDbAcjn8s6t9H5ybbZ/NepvH57Xno/SufDrGE8dLrG02aPndmc46cf9ZPvGxF34Qnq+8/BKf+NgLnLj/bFde/16Ua02ikQiPzQ8TDeHBFdK7SgMJFsZyrG2qZaOXrOqEwL5wZzep8VyCG5vhDs99fefZ7oOs8cixIgX1NUuPOzK0PZ11faPWlVGvsxcf4+OffJFPfOwF/vdv/Bc+8bEX+PgnX+TsxccO/LXvRa3Zptps8/TCCOm49l+X/ffAkTwRM+qt/lnIFGa1ZpukTgjsG1EvwmPzJVKxcO+00dfBeXmjxsnxPDPD6oOUcDg5nuPkWI7lje48kZ+9+BjPf/iX+PT/+G88/+Ff6tnQ3Gz7rG02ePJ4SQ/BcmCSMY8L00OsaaEgEGw7l3OOtc0GF2cLmi3uI8mYx9MLI7R8n82QHj7Ut8H51laD4WyCh9QHKSFyZzprcjDJahd6wa68/BKf/+xv8y//9b/l85/97R+7SfaCtu9Y3qjzyFyRSZ0WJgdsuphhJJcI9YjYfgmynevWVoOpQpojes/3nVwyxjMLo5RrLeoh3KauL4PzVqOF7+Dx4yVi6oOUkIl6ER6dHyaXinHzAHvB7twEP/7JF/nlX/kPP2jb6KXw7DvH9Y0qD00NMj86EHQ5cghEdhYKbjXatP3DvVAwqHauVtun0XY8rAX9fas0kOCphRJrW43Q7aHed6my2fZZr7Z4eqFENqE+SAmnRNTj6YUS8ajH7QM61ez1V6/80E3wzk3y9VevHMjr7ZZzjuvrNU5N5HngiA49kO4ZysQ5PZFjNeSLmPZDEO1cq5U656YGySVjB/5aEpwjQ2kuzxZZKddD9ZDaV8H5zmLAy3MFRgaSQZcjsifpeJSfODmCmR3ItPGHP/LRH7sJnr34GB/+yEf3/bV2yznH9Y0a86NZHp7SqJN03+nJHMlohGojfFPJ+6nb7VyVWot8Ks5xzTAdCvOjAzx8X/cWxe+HvgrO1ze2R6d0yIn0i4FkjPedHMV3jo1D0nPpnGNpo8ZMKcviTFF7t0ogElGPizNFbm7VcSG5oe+3brdz+c6xXmtyaa6g7SYPkdMTOU5P5EITnvvmJ3O1UufoUJpzGp2SPpNPx/jAqbHtm0qfh2d/Z6R5rpTl8mwRT6FZAnRkKMVUMcOtA2qX6nXdbue6Udk+EVQzxoeLmXFuaoj5kSzLG7Wef1Dti+B8a6vBQCLK5TndaKU/5dMx3n96DDMOrOc5aL6/HZqPjWS5pNAsPcDMOH/fEM22C90Cpv3QzXauWrNNzItoPcMhFYkYizNFZktZlno8PIc+OFdq2/sAPnmiRDKmvR6lf+VTMT5weoxEzAv9yUs/quX7LG3UOD2R4+KMQrP0joFkjHP3DXKj0l/vuV5yZ8/mS7MF3ccPMS9iXJotMl1Mc73cuy1SoQ7OtWabrVaLnzg5yoBW38ohkE1Eef+pUYrpOEvr1Z79xbIb9Vab6xt1LkwPcW5qSD3N0nOOj+YYSscp1/q7VSooa5sNpoe1Z7Nsh+dH5oa5r5Dq2fAc2uDcaPnc3GzwzIlRnSQmh0oy5vHUwgjHRrJcW6/SCvEUcrnW5NZWk2dOlDg1kdf6BOlJXsS4NFdko9bCD9G2WWHQaPk4HOfvK+j9L8D2WQY/CM8bvReeQxmcm22f1UqdJ46XGMtrEYEcPjEvwqXZIoszBVbKdbYa4Tu6dLVSwwHPnRlnqpgJuhyRdzWcTWhv5wOwWqmxOF0ko3MX5G3uhOeZUobrPdbzHLrg3PJ9lss1HpkrMj2sm60cXmbGyfE8z94/RqPlc6PSW79c3kmz7XPtdpXxfIrnzoxrxkhC48yRPAnt7bxvbm01mBxMMaN7udxF1ItwebbIsZHtBYO9slVdqIJz23csb9RYnC7o+F2RHSO5JB96YIKJwRTX1mvUm717U1+vNlmrNFicKfDEvBb0Srgkoh6XZovc3GqE4iG1lzXbPo2Wz+Ks9mqXd+ZFjIszRU5P5Fhar9Hyg29NDE1wbu9sVfXQ1BCnJrRdjcjbpeIej8+XePJ4iUqjxWqld57OYfsmubReJR33eP7BcRbGc7pZSigdGUozO5xhrU+3heyW1XKdxZmCjtWW9xSJbO/zfH56iOWNWuBbQ4aiqehOaD57dJAzkwrNIndjZkwPZxjNJfnHt27z7etlUjGPwXRwrRBt37G2WQe2txmaK2UVmCX0Hp4e4uqVKvVWm0RUsya7dWurwcRgUqf8SsfMjNMTeZJRj6989waFdDywGcueD84t32d5Z6T5zKRW3Yu8l1R8+6jgY6UsV968zVu3q2TiUXLJaNfeP23fcXOzTtvByfEBTo3nScUVMKQ/pONRLs0U+PJ3bjA5mAq6nFBptHyabZ+LatGQezA3kiUd9/jS6ys0234gWxH3dHButbdHmhenC2rPENmlYjbBMwsjrFbqvHp1nbduV4l5EQZTMaLewXRp1Zttbtea4OD46AAL4wPaY1360vRwhu/d2GK1UqOQSQRdTig451ip1Hj8WEm/F+SejQ9uLyz/q9dXWNusU+zy+6+ng3O11eaZEyNaCChyj8yMkYEkz5xMcnurwXdXK7yxUqHRciSiEQaSUWJ7DNH1VpuNaou275OKe5ybGmS6mNUIs/Q1M+PCbIHPXXmLRssnHg3NkqHArG02mC5mmC1pFw3Zm8F0nA+eHuel76yytF5jNJcg0qUZ1Z4Nzl7EeO70OEeLOklIZD8MpuM8fF+BB45sHx/8/bUt/nlti0bbBwcxz0hEPeLRCFHPfuyXkO87mv72Svha06ftOzBIJzxOTgwwOZimmIlr+lUOjWwiyuJMka+8scrkoO5V76bWbGMGizM66ET2Ryru8fTCCP/w5m2+dW2DUjbRlQfYng3OMS+i0CxyAGJehPF8ivF8isWZAhu1FhvVJmuVOje3mqxXm9yutvjhA9IcnkVIJzyGMnGGswmGMnHyqRhZHVwgh9jscIbvr21yo1JXy8Y78J3bPun35AjpuH5fyP6JehEuTBcYzsT5ynfXSMc8cqmDbQPST7DIIWZm5FMx8qkYRws//KDa9h1t32EGETM8jSSL/JhIxFicLfIn33hLu2y8g5VKnYXxHEeGNBgmB2OmlGUoE+dvvr3K9XKNkezBtW6oKUtE7sqLGPFohJgXUWgWeRfZRJSLM0VuVHQwyo8q15oMJKKcPToYdCnS5wbTcT54/zjzpSxL6zVqB3QYmIKziIjIHs0MZ5gZTu/sWy6wffDRZqPF4/MlLZ6UrohHI1ycLfLMQonNRosblfq+P8zqJ1lERGSPzIwL00UiFqHa6N1j77vFOcdKucbidJFCJrhDmORwOlrI8JMPTjCWT3JtvUZ9H0efFZxFRET2QSru8eixIje3Gvj+4W7ZuFFpMDucZX5UpwNKMNLxKE8eL/Hk8RKVRovVSg1/H0afFZxFRET2yeRQmtMTOZbLtaBLCUy51iQV97igreckYGbG9HCGn3pwkvsKGZbWa1RqrT19TwVnERGRffTg0UGGMnHWq82gS+m6Zttns97mieMlkjHtMCK9IRX3eOTYMM/eP4bnGdfWqzRa/j19LwVnERGRfRTzIjx+rES91abeOjz9zr5zLG/UeOSY+pqlN43mkjx3ZpzLs0U2ak2WyzVa/u4CtIKziIjIPsunY1yeLbJaru9LX2UYLG/UOT2ZZ7akvmbpXV7EmB8d4GcemuT+iRw3Kg1WKzWAjvqKdACKiIjIAZgpZVmtNPj28gZjuVTQ5Ryotc06Y7kED2m/ZgmJZMzjwaNDHBsZ4LWlDfD9jqaH9jTibGb/wsy+aWa+mZ1/l6971sxeN7M3zOzX9/KaIiIiYfHQ1CDFTIJbW42gSzkw5VqTmBfhsfkSUU8T2RIumUSU89MF/OrGzU6+fq8/4a8CPwd8+Z2+wMw84LeADwKngF8ws1N7fF0REZGetx0oh/GdY6uxt9X8vajWbFNttnn6xAipuBYDSv/bU3B2zr3mnHv9Pb5sEXjDOfdPzrkG8Bngp/fyuiIiImExkIzx9IkRblebNNv3tpK/FzXbPjc3Gzx1osSQFgPKIdGNOZVJ4M23fXx153MiIiKHwkguyeXZIivl/TmEIWht37FSrvPIsSITg+mgyxHpmvdcHGhmfwmM3eW//pNz7o87eI27rVK8628NM3sBeAFgamqqg28tIiISDsdGsqxXm3xraYPxXDK0h4P4zrG0UeXc1PbCKpHD5D2Ds3PufXt8javA0bd9fAS49g6v9SLwIsD58+fD/0guIiKyw8w4NzXEVqPF929VGRtIBl3SrjnnWFqvcXoiz5nJfNDliHRdN1o1vgbMm9mMmcWBnwc+14XXFRER6SmRiHFpdpiRbIIblXAdy+2c4/pGjeOjWR6eGgrtiLnIXux1O7qfNbOrwGXgT83sCzufnzCzPwNwzrWAjwJfAF4Dft859829lS0iIhJO8WiEJ46XyCZjrG3Wgy6nI3dC81wpy+JMkUhEoVkOJ3M9ukjh/Pnz7pVXXgm6DBERkQOx1WjxxW8tU2+2KWQSQZfzjnznuL5eY350OzR7Cs3Sh8zs6865dzyT5A7tVC4iIhKAdDzK+06Okox7PTvy3PYdS+tVTo7nuKjQLKLgLCIiEpRMYjs8ZxJRVnus57nZ9rm+UePs0SHOTw+pPUMEBWcREZFA3Rl5Hs4kWFqv0gstlFuNFquVOo8eG+bBo4NaCCiyQ8FZREQkYMmYx1MLI8yVslxbr9Lygzth8NZWg2rT59nTYxwbyQZWh0gves99nEVEROTgxbwIl+eKDKZjvPK9WwymY6Tj3btNt33HcrnGyECCx+ZLZBOKCCI/Su8KERGRHmFmnJrIM5xN8OXvrLJZrlPMxokccKtEudakXG9x9uggp8ZzRD1NSIvcjd4ZIiIiPWYkl+T5ByaYHk5zfaNKpd46kNdptHyW1mvEvAgfOjPOA0cGFZpF3oVGnEVERHpQMuZxeW6Y2VKWr/6/m1xbrzKUipOKe3v+3o2Wz82tOjEvwqXZArOlrLaaE+mAgrOIiEgPG80lee7MOG/e3OTKm+ssrVdJxTxyydiutojznaNSa7HVbBOPGuemhpgbyZKI7j2IixwWCs4iIiI9zosY08NZpgoZVsp1vrNS5vtrWzjAgHTcI+5F8DwjYoZz0PJ9Gi2fWtOn7ftgxkQ+yYXRAmP5JDG1ZIjsmoKziIhISEQixlg+yVg+SWPG59ZWgxuVOqvlOuvVJpvVNi3f4UW2Wz0G03GGswmGB+IMpeMkYxpdFtkLBWcREZEQikcjjOaSjOaSQZcicmhonkZEREREpAMKziIiIiIiHVBwFhERERHpgIKziIiIiEgHFJxFRERERDqg4CwiIiIi0gEFZxERERGRDig4i4iIiIh0QMFZRERERKQDCs4iIiIiIh1QcBYRERER6YCCs4iIiIhIBxScRUREREQ6YM65oGu4KzNbBf456DoO0DBwI+gi5J7p+oWXrl246fqFm65fePX7tbvPOVd6ry/q2eDc78zsFefc+aDrkHuj6xdeunbhpusXbrp+4aVrt02tGiIiIiIiHVBwFhERERHpgIJzcF4MugDZE12/8NK1Czddv3DT9QsvXTvU4ywiIiIi0hGNOIuIiIiIdEDBOQBm9qyZvW5mb5jZrwddj3TOzP6Xma2Y2atB1yK7Y2ZHzexLZvaamX3TzH416Jqkc2aWNLOvmtk3dq7ffw66JtkdM/PM7B/M7PNB1yK7Y2bfM7P/Y2ZXzOyVoOsJklo1uszMPODbwPuBq8DXgF9wzn0r0MKkI2b2BFABfsc5d3/Q9UjnzGwcGHfO/b2ZDQBfB35G771wMDMDMs65ipnFgJeAX3XO/V3ApUmHzOzfAeeBnHPu+aDrkc6Z2feA8865ft7HuSMace6+ReAN59w/OecawGeAnw64JumQc+7LwM2g65Ddc84tOef+fuffZeA1YDLYqqRTbltl58PYzh+N/ISEmR0BPgT8z6BrEdkLBefumwTefNvHV9HNW6SrzGwaeAh4OdhKZDd2pvqvACvAF51zun7h8d+Bfw/4QRci98QBf2FmXzezF4IuJkgKzt1nd/mcRk1EusTMssAfAL/mnNsIuh7pnHOu7Zw7CxwBFs1M7VIhYGbPAyvOua8HXYvcs0edc+eADwL/Zqdt8VBScO6+q8DRt318BLgWUC0ih8pOb+wfAJ92zv1h0PXIvXHO3Qb+Gng24FKkM48CP7XTJ/sZ4Bkz+91gS5LdcM5d2/l7BfgjtttODyUF5+77GjBvZjNmFgd+HvhcwDWJ9L2dxWWfAl5zzv3XoOuR3TGzkpkN7vw7BbwP+L/BViWdcM79R+fcEefcNNv3vL9yzv2rgMuSDplZZmdBNWaWAT4AHNqdpRScu8w51wI+CnyB7cVJv++c+2awVUmnzOz3gL8FTpjZVTP7SNA1ScceBX6R7dGuKzt/ngu6KOnYOPAlM/tHtgcgvuic07ZmIgdvFHjJzL4BfBX4U+fcnwdcU2C0HZ2IiIiISAc04iwiIiIi0gEFZxERERGRDig4i4iIiIh0QMFZRERERKQDCs4iIiIiIh1QcBYRERER6YCCs4iIiIhIBxScRUREREQ68P8BtqKFNGfQO2kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=gpr, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's inspect the hyperparameters we've learned:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "variance = 0.2447132021188736\n",
      "lengthscale = 0.5217674970626831\n",
      "noise = 0.04222296178340912\n"
     ]
    }
   ],
   "source": [
    "print('variance = {}'.format(gpr.kernel.variance))\n",
    "print('lengthscale = {}'.format(gpr.kernel.lengthscale))\n",
    "print('noise = {}'.format(gpr.noise))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the MAP values are different from the MLE values due to the prior."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sparse GPs\n",
    "\n",
    "For large datasets computing the log marginal likelihood is costly due to the expensive matrix operations involved (e.g. see Section 2.2 of [1]). A variety of so-called 'sparse' variational methods have been developed to make GPs viable for larger datasets. This is a big area of research and we won't be going into all the details. Instead we quickly show how we can use `SparseGPRegression` in `pyro.contrib.gp` to make use of these methods.\n",
    "\n",
    "First, we generate more data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n",
    "y = 0.5 * torch.sin(3*X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n",
    "plot(plot_observed_data=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the sparse GP is very similar to using the basic GP used above. We just need to add an extra parameter $X_u$ (the inducing points)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize the inducing inputs\n",
    "Xu = torch.arange(20.) / 4.0\n",
    "\n",
    "# initialize the kernel and model\n",
    "kernel = gp.kernels.RBF(input_dim=1)\n",
    "# we increase the jitter for better numerical stability\n",
    "sgpr = gp.models.SparseGPRegression(X, y, kernel, Xu=Xu, jitter=1.0e-5)\n",
    "\n",
    "# the way we setup inference is similar to above\n",
    "optimizer = torch.optim.Adam(sgpr.parameters(), lr=0.005)\n",
    "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n",
    "losses = []\n",
    "num_steps = 2500 if not smoke_test else 2\n",
    "for i in range(num_steps):\n",
    "    optimizer.zero_grad()\n",
    "    loss = loss_fn(sgpr.model, sgpr.guide)\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inducing points:\n",
      "[0.03058701 0.25927886 0.48168573 0.76160955 1.0478696  1.3311042\n",
      " 1.6020889  1.8753066  2.0877776  2.342296   2.5872447  2.8880212\n",
      " 3.1459439  3.3801115  3.6570277  3.9431984  4.1874566  4.47123\n",
      " 4.721643   4.96045   ]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# let's look at the inducing points we've learned\n",
    "print(\"inducing points:\\n{}\".format(sgpr.Xu.data.numpy()))\n",
    "# and plot the predictions from the sparse GP\n",
    "plot(model=sgpr, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the model learns a reasonable fit to the data. There are three different sparse approximations that are currently implemented in Pyro:\n",
    "\n",
    "- \"DTC\" (Deterministic Training Conditional)\n",
    "\n",
    "- \"FITC\" (Fully Independent Training Conditional)\n",
    "\n",
    "- \"VFE\" (Variational Free Energy) \n",
    "\n",
    "By default, `SparseGPRegression` will use \"VFE\" as the inference method. We can use other methods by passing a different `approx` flag to `SparseGPRegression`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More Sparse GPs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both `GPRegression` and `SparseGPRegression` above are limited to Gaussian likelihoods. We can use other likelihoods with GPs&mdash;for example, we can use the Bernoulli likelihood for classification problems&mdash;but the inference problem becomes more difficult. In this section, we show how to use the `VariationalSparseGP` module, which can handle non-Gaussian likelihoods. So we can compare to what we've done above, we're still going to use a Gaussian likelihood. The point is that the inference that's being done under the hood can support other likelihoods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize the inducing inputs\n",
    "Xu = torch.arange(10.) / 2.0\n",
    "\n",
    "# initialize the kernel, likelihood, and model\n",
    "kernel = gp.kernels.RBF(input_dim=1)\n",
    "likelihood = gp.likelihoods.Gaussian()\n",
    "# turn on \"whiten\" flag for more stable optimization\n",
    "vsgp = gp.models.VariationalSparseGP(X, y, kernel, Xu=Xu, likelihood=likelihood, whiten=True)\n",
    "\n",
    "# instead of defining our own training loop, we will\n",
    "# use the built-in support provided by the GP module\n",
    "num_steps = 1500 if not smoke_test else 2\n",
    "losses = gp.util.train(vsgp, num_steps=num_steps)\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=vsgp, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's all there is to it. For more details on the `pyro.contrib.gp` module see the [docs](http://docs.pyro.ai/en/dev/contrib/gp.html). And for example code that uses a GP for classification see [here](https://github.com/uber/pyro/blob/dev/examples/contrib/gp/sv-dkl.py)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference\n",
    "\n",
    "[1] `Deep Gaussian processes and variational propagation of uncertainty`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Andreas Damianou\n",
    "\n",
    "[2] `A unifying framework for sparse Gaussian process approximation using power expectation propagation`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Thang D. Bui, Josiah Yan, and Richard E. Turner\n",
    "\n",
    "[3] `Scalable variational Gaussian process classification`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "James Hensman, Alexander G. de G. Matthews, and Zoubin Ghahramani\n",
    "\n",
    "[4] `Gaussian Processes for Machine Learning`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Carl E. Rasmussen, and Christopher K. I. Williams\n",
    "\n",
    "[5] `A Unifying View of Sparse Approximate Gaussian Process Regression`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Joaquin Quinonero-Candela, and Carl E. Rasmussen"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
